Épijournal de Géométrie Algébrique - Latest Publications Latest articles https://epiga.episciences.org/img/episciences_sign_50x50.png episciences.org https://epiga.episciences.org Mon, 16 Mar 2026 02:10:50 +0000 episciences.org https://epiga.episciences.org Épijournal de Géométrie Algébrique Épijournal de Géométrie Algébrique Gromov-Witten and Welschinger invariants of del Pezzo varieties Mon, 02 Mar 2026 13:13:52 +0000 https://doi.org/10.46298/epiga.2026.11503 https://doi.org/10.46298/epiga.2026.11503 Nguyen, Thi-Ngoc-Anh Nguyen, Thi-Ngoc-Anh 0 $G$-torsors on perfectoid spaces Mon, 16 Feb 2026 08:06:20 +0000 https://doi.org/10.46298/epiga.2026.13796 https://doi.org/10.46298/epiga.2026.13796 Heuer, Ben Heuer, Ben 0 Real plane separating (M-2)-curves of degree d and totally real pencils of degree d-3 Wed, 07 Jan 2026 07:16:46 +0000 https://doi.org/10.46298/epiga.2025.13870 https://doi.org/10.46298/epiga.2025.13870 Manzaroli, Matilde Manzaroli, Matilde 0 Quotient singularities by permutation actions are canonical Fri, 19 Dec 2025 09:00:58 +0000 https://doi.org/10.46298/epiga.2025.14300 https://doi.org/10.46298/epiga.2025.14300 Yasuda, Takehiko Yasuda, Takehiko 0 A Nakayama result for the quantum K theory of homogeneous spaces Fri, 12 Dec 2025 14:08:35 +0000 https://doi.org/10.46298/epiga.2025.17016 https://doi.org/10.46298/epiga.2025.17016 Gu, Wei Mihalcea, Leonardo C. Sharpe, Eric Xu, Weihong Zhang, Hao Zou, Hao Gu, Wei Mihalcea, Leonardo C. Sharpe, Eric Xu, Weihong Zhang, Hao Zou, Hao 0 A proof of generic Green's conjecture in odd genus Fri, 12 Dec 2025 14:05:36 +0000 https://doi.org/10.46298/epiga.2025.15338 https://doi.org/10.46298/epiga.2025.15338 Kemeny, Michael Kemeny, Michael 0 The abundance and SYZ conjectures in families of hyperkahler manifolds Tue, 09 Dec 2025 08:40:55 +0000 https://doi.org/10.46298/epiga.2025.14370 https://doi.org/10.46298/epiga.2025.14370 Soldatenkov, Andrey Verbitsky, Misha Soldatenkov, Andrey Verbitsky, Misha 0 Nakayama-Zariski decomposition and the termination of flips Thu, 27 Nov 2025 07:35:49 +0000 https://doi.org/10.46298/epiga.2025.13884 https://doi.org/10.46298/epiga.2025.13884 Lazić, Vladimir Xie, Zhixin Lazić, Vladimir Xie, Zhixin 0 Bitangent surfaces and involutions of quartic surfaces Mon, 24 Nov 2025 09:28:56 +0000 https://doi.org/10.46298/epiga.2025.13907 https://doi.org/10.46298/epiga.2025.13907 Dolgachev, Igor Kondō, Shigeyuki Dolgachev, Igor Kondō, Shigeyuki 0 Non-hyperbolicity of holomorphic symplectic varieties Fri, 14 Nov 2025 14:14:58 +0000 https://doi.org/10.46298/epiga.2025.11015 https://doi.org/10.46298/epiga.2025.11015 Kamenova, Ljudmila Lehn, Christian Kamenova, Ljudmila Lehn, Christian 0 A tale of two moduli spaces: logarithmic and multi-scale differentials Thu, 30 Oct 2025 10:23:22 +0000 https://doi.org/10.46298/epiga.2025.11278 https://doi.org/10.46298/epiga.2025.11278 Chen, Dawei Grushevsky, Samuel Holmes, David Möller, Martin Schmitt, Johannes Chen, Dawei Grushevsky, Samuel Holmes, David Möller, Martin Schmitt, Johannes 0 F-characteristic cycle of a rank one sheaf on an arithmetic surface Wed, 15 Oct 2025 10:10:19 +0000 https://doi.org/10.46298/epiga.2025.13168 https://doi.org/10.46298/epiga.2025.13168 Ooe, Ryosuke Ooe, Ryosuke 0 Motives of central slope Kronecker moduli Mon, 29 Sep 2025 05:15:27 +0000 https://doi.org/10.46298/epiga.2025.14742 https://doi.org/10.46298/epiga.2025.14742 Astruc, Alexandre Chapoton, Frederic Martinez, Karen Reineke, Markus Astruc, Alexandre Chapoton, Frederic Martinez, Karen Reineke, Markus 0 Bernstein-Sato theory modulo $p^m$ 0$ we develop a notion of Bernstein-Sato polynomial for polynomials with $\mathbb{Z} / p^m$-coefficients, compatible with existing theory in the case $m = 1$. We show that the ``roots" of such polynomials are rational and we show that the negative roots agree with those of the mod-$p$ reduction. We give examples to show that, surprisingly, roots may be positive in this context. Moreover, our construction allows us to define a notion of ``strength" for roots by measuring $p$-torsion, and we show that ``strong" roots give rise to roots in characteristic zero through mod-$p$ reduction.]]> Mon, 29 Sep 2025 05:11:15 +0000 https://doi.org/10.46298/epiga.2025.14739 https://doi.org/10.46298/epiga.2025.14739 Bitoun, Thomas Quinlan-Gallego, Eamon Bitoun, Thomas Quinlan-Gallego, Eamon 0$ we develop a notion of Bernstein-Sato polynomial for polynomials with $\mathbb{Z} / p^m$-coefficients, compatible with existing theory in the case $m = 1$. We show that the ``roots" of such polynomials are rational and we show that the negative roots agree with those of the mod-$p$ reduction. We give examples to show that, surprisingly, roots may be positive in this context. Moreover, our construction allows us to define a notion of ``strength" for roots by measuring $p$-torsion, and we show that ``strong" roots give rise to roots in characteristic zero through mod-$p$ reduction.]]> 0 Stability conditions on free abelian quotients Fri, 12 Sep 2025 12:22:43 +0000 https://doi.org/10.46298/epiga.2025.11719 https://doi.org/10.46298/epiga.2025.11719 Dell, Hannah Dell, Hannah 0 On the number of real forms of a complex variety Thu, 11 Sep 2025 05:24:36 +0000 https://doi.org/10.46298/epiga.2025.12968 https://doi.org/10.46298/epiga.2025.12968 van der Geer, Gerard Yu, Xun van der Geer, Gerard Yu, Xun 0 On singular Hilbert schemes of points: Local structures and tautological sheaves Thu, 28 Aug 2025 07:36:29 +0000 https://doi.org/10.46298/epiga.2025.12827 https://doi.org/10.46298/epiga.2025.12827 Hu, Xiaowen Hu, Xiaowen 0 Terminalizations of quotients of compact hyperkähler manifolds by induced symplectic automorphisms Thu, 17 Jul 2025 15:55:07 +0000 https://doi.org/10.46298/epiga.2025.13054 https://doi.org/10.46298/epiga.2025.13054 Bertini, Valeria Grossi, Annalisa Mauri, Mirko Mazzon, Enrica Bertini, Valeria Grossi, Annalisa Mauri, Mirko Mazzon, Enrica 0 On the irrationality of moduli spaces of projective hyperkähler manifolds Tue, 17 Jun 2025 06:21:39 +0000 https://doi.org/10.46298/epiga.2025.12999 https://doi.org/10.46298/epiga.2025.12999 Agostini, Daniele Barros, Ignacio Lai, Kuan-Wen Agostini, Daniele Barros, Ignacio Lai, Kuan-Wen 0 Kawamata-Miyaoka-type inequality for $\mathbb Q$-Fano varieties with canonical singularities II: Terminal $\mathbb Q$-Fano threefolds Tue, 03 Jun 2025 07:53:19 +0000 https://doi.org/10.46298/epiga.2025.13167 https://doi.org/10.46298/epiga.2025.13167 Liu, Haidong Liu, Jie Liu, Haidong Liu, Jie 0 On $G$-birational rigidity of del Pezzo surfaces Tue, 27 May 2025 07:09:42 +0000 https://doi.org/10.46298/epiga.2025.11640 https://doi.org/10.46298/epiga.2025.11640 Yasinsky, Egor Yasinsky, Egor 0 Analytic continuation of better-behaved GKZ systems and Fourier-Mukai transforms Fri, 23 May 2025 08:14:42 +0000 https://doi.org/10.46298/epiga.2024.11695 https://doi.org/10.46298/epiga.2024.11695 Han, Zengrui Han, Zengrui 0 Cellular pavings of fibers of convolution morphisms Fri, 16 May 2025 06:41:50 +0000 https://doi.org/10.46298/epiga.2024.12352 https://doi.org/10.46298/epiga.2024.12352 Haines, Thomas J. Haines, Thomas J. 0 Toric sheaves and flips Wed, 23 Apr 2025 21:00:10 +0000 https://doi.org/10.46298/epiga.2024.12468 https://doi.org/10.46298/epiga.2024.12468 Clarke, Andrew Napame, Achim Tipler, Carl Clarke, Andrew Napame, Achim Tipler, Carl 0 Pseudo-effectivity of the relative canonical divisor and uniruledness in positive characteristic 0$ with geometrically integral and non-uniruled generic fiber, then $K_{X/T}$ is pseudo-effective. The proof is based on covering $X$ with rational curves, which gives a contradiction as soon as both the base and the generic fiber are not uniruled. However, we assume only that the generic fiber is not uniruled. Hence, the hardest part of the proof is to show that there is a finite smooth non-uniruled cover of the base for which we show the following: If $T$ is a smooth projective variety over $k$ and $\mathcal{A}$ is an ample enough line bundle, then a cyclic cover of degree $p \nmid d$ given by a general element of $\left|\mathcal{A}^d\right|$ is not uniruled. For this we show the following cohomological uniruledness condition, which might be of independent interest: A smooth projective variety $T$ of dimenion $n$ is not uniruled whenever the dimension of the semi-stable part of $H^n(T, \mathcal{O}_T)$ is greater than that of $H^{n-1}(T, \mathcal{O}_T)$. Additionally, we also show singular versions of all the above statements.]]> Wed, 16 Apr 2025 06:29:37 +0000 https://doi.org/10.46298/epiga.2025.11595 https://doi.org/10.46298/epiga.2025.11595 Patakfalvi, Zsolt Patakfalvi, Zsolt 0$ with geometrically integral and non-uniruled generic fiber, then $K_{X/T}$ is pseudo-effective. The proof is based on covering $X$ with rational curves, which gives a contradiction as soon as both the base and the generic fiber are not uniruled. However, we assume only that the generic fiber is not uniruled. Hence, the hardest part of the proof is to show that there is a finite smooth non-uniruled cover of the base for which we show the following: If $T$ is a smooth projective variety over $k$ and $\mathcal{A}$ is an ample enough line bundle, then a cyclic cover of degree $p \nmid d$ given by a general element of $\left|\mathcal{A}^d\right|$ is not uniruled. For this we show the following cohomological uniruledness condition, which might be of independent interest: A smooth projective variety $T$ of dimenion $n$ is not uniruled whenever the dimension of the semi-stable part of $H^n(T, \mathcal{O}_T)$ is greater than that of $H^{n-1}(T, \mathcal{O}_T)$. Additionally, we also show singular versions of all the above statements.]]> 0 The LLV Algebra for Primitive Symplectic Varieties with Isolated Singularities Fri, 28 Mar 2025 06:50:14 +0000 https://doi.org/10.46298/epiga.2025.12186 https://doi.org/10.46298/epiga.2025.12186 Tighe, Benjamin Tighe, Benjamin 0 Hyperelliptic curves and Ulrich sheaves on the complete intersection of two quadrics Tue, 11 Mar 2025 09:02:54 +0000 https://doi.org/10.46298/epiga.2025.10488 https://doi.org/10.46298/epiga.2025.10488 Eisenbud, David Schreyer, Frank-Olaf Eisenbud, David Schreyer, Frank-Olaf 0 The EKOR-stratification on the Siegel modular variety with parahoric level structure Fri, 07 Mar 2025 14:28:37 +0000 https://doi.org/10.46298/epiga.2025.10263 https://doi.org/10.46298/epiga.2025.10263 Hoff, Manuel Hoff, Manuel 0 Witt groups of Severi-Brauer varieties and of function fields of conics Fri, 28 Feb 2025 10:47:34 +0000 https://doi.org/10.46298/epiga.2024.11171 https://doi.org/10.46298/epiga.2024.11171 Quéguiner-Mathieu, Anne Tignol, Jean-Pierre Quéguiner-Mathieu, Anne Tignol, Jean-Pierre 0 A construction of the polylogarithm motive Sun, 23 Feb 2025 12:16:17 +0000 https://doi.org/10.46298/epiga.2025.11558 https://doi.org/10.46298/epiga.2025.11558 Dupont, Clément Fresán, Javier Dupont, Clément Fresán, Javier 0 Local Euler characteristics of $A_n$-singularities and their application to hyperbolicity Thu, 06 Feb 2025 10:43:20 +0000 https://doi.org/10.46298/epiga.2025.12665 https://doi.org/10.46298/epiga.2025.12665 Bruin, Nils Ilten, Nathan Xu, Zhe Bruin, Nils Ilten, Nathan Xu, Zhe 0 Spectrum of equivariant cohomology as a fixed point scheme Mon, 03 Feb 2025 10:13:54 +0000 https://doi.org/10.46298/epiga.2025.12591 https://doi.org/10.46298/epiga.2025.12591 Hausel, Tamás Rychlewicz, Kamil Hausel, Tamás Rychlewicz, Kamil 0 A moving lemma for cohomology with support Tue, 24 Dec 2024 10:22:35 +0000 https://doi.org/10.46298/epiga.2024.10038 https://doi.org/10.46298/epiga.2024.10038 Schreieder, Stefan Schreieder, Stefan 0 Line Bundles on The First Drinfeld Covering Wed, 18 Dec 2024 10:01:12 +0000 https://doi.org/10.46298/epiga.2024.11707 https://doi.org/10.46298/epiga.2024.11707 Taylor, James Taylor, James 0 Rank 4 stable vector bundles on hyperkähler fourfolds of Kummer type Thu, 05 Dec 2024 09:49:17 +0000 https://doi.org/10.46298/epiga.2024.10857 https://doi.org/10.46298/epiga.2024.10857 O'Grady, Kieran G. O'Grady, Kieran G. 0 Deformations of some local Calabi-Yau manifolds Tue, 05 Nov 2024 10:57:41 +0000 https://doi.org/10.46298/epiga.2024.10899 https://doi.org/10.46298/epiga.2024.10899 Friedman, Robert Laza, Radu Friedman, Robert Laza, Radu 0 Logarithmic resolution via multi-weighted blow-ups Thu, 31 Oct 2024 10:16:13 +0000 https://doi.org/10.46298/epiga.2024.9793 https://doi.org/10.46298/epiga.2024.9793 Abramovich, Dan Quek, Ming Hao Abramovich, Dan Quek, Ming Hao 0 On Bruhat-Tits theory over a higher dimensional base Tue, 29 Oct 2024 09:15:10 +0000 https://doi.org/10.46298/epiga.2024.9759 https://doi.org/10.46298/epiga.2024.9759 Balaji, Vikraman Pandey, Yashonidhi Balaji, Vikraman Pandey, Yashonidhi 0 Universality for tropical and logarithmic maps Tue, 17 Sep 2024 10:33:48 +0000 https://doi.org/10.46298/epiga.2024.12349 https://doi.org/10.46298/epiga.2024.12349 Corrigan, Gabriel Nabijou, Navid Simms, Dan Corrigan, Gabriel Nabijou, Navid Simms, Dan 0 Tautological relations and integrable systems Fri, 23 Aug 2024 07:12:29 +0000 https://doi.org/10.46298/epiga.2024.10382 https://doi.org/10.46298/epiga.2024.10382 Buryak, Alexandr Shadrin, Sergey Buryak, Alexandr Shadrin, Sergey 0 Ngô support theorem and polarizability of quasi-projective commutative group schemes Tue, 16 Jul 2024 12:41:32 +0000 https://doi.org/10.46298/epiga.2024.12345 https://doi.org/10.46298/epiga.2024.12345 Ancona, Giuseppe Fratila, Dragos Ancona, Giuseppe Fratila, Dragos 0 Action of the automorphism group on the Jacobian of Klein's quartic curve II: Invariant theta functions Thu, 11 Jul 2024 07:44:02 +0000 https://doi.org/10.46298/epiga.2024.11511 https://doi.org/10.46298/epiga.2024.11511 Markushevich, Dimitri Moreau, Anne Markushevich, Dimitri Moreau, Anne 0 Etale descent obstruction and anabelian geometry of curves over finite fields Tue, 09 Jul 2024 07:50:34 +0000 https://doi.org/10.46298/epiga.2024.11483 https://doi.org/10.46298/epiga.2024.11483 Creutz, Brendan Voloch, Jose Felipe Creutz, Brendan Voloch, Jose Felipe 0 Extensions of curves with high degree with respect to the genus 1$ is the sectional genus (it is a classical result that for larger $d$ there are only cones). We apply this to the study of the extension theory of pluricanonical curves and genus $3$ curves, whenever they verify Property $N_2$, using and slightly expanding the theory of integration of ribbons of the authors and E.~Sernesi. We compute the corank of the relevant Gaussian maps, and we show that all ribbons over such curves are integrable, and thus there exists a universal extension. We carry out a similar program for linearly normal hyperelliptic curves of degree $d\geq 2g+3$. We classify surfaces having such a curve $C$ as a hyperplane section, compute the corank of the relevant Gaussian maps, and prove that all ribbons over $C$ are integrable if and only if $d=2g+3$. In the latter case we obtain the existence of a universal extension.]]> Tue, 09 Jul 2024 07:41:36 +0000 https://doi.org/10.46298/epiga.2024.11202 https://doi.org/10.46298/epiga.2024.11202 Ciliberto, Ciro Dedieu, Thomas Ciliberto, Ciro Dedieu, Thomas 1$ is the sectional genus (it is a classical result that for larger $d$ there are only cones). We apply this to the study of the extension theory of pluricanonical curves and genus $3$ curves, whenever they verify Property $N_2$, using and slightly expanding the theory of integration of ribbons of the authors and E.~Sernesi. We compute the corank of the relevant Gaussian maps, and we show that all ribbons over such curves are integrable, and thus there exists a universal extension. We carry out a similar program for linearly normal hyperelliptic curves of degree $d\geq 2g+3$. We classify surfaces having such a curve $C$ as a hyperplane section, compute the corank of the relevant Gaussian maps, and prove that all ribbons over $C$ are integrable if and only if $d=2g+3$. In the latter case we obtain the existence of a universal extension.]]> 0 Algebraic cycles on Gushel-Mukai varieties Tue, 02 Jul 2024 08:21:40 +0000 https://doi.org/10.46298/epiga.2024.9815 https://doi.org/10.46298/epiga.2024.9815 Fu, Lie Moonen, Ben Fu, Lie Moonen, Ben 0 Difference varieties and the Green-Lazarsfeld Secant Conjecture Tue, 18 Jun 2024 05:31:03 +0000 https://doi.org/10.46298/epiga.2024.11658 https://doi.org/10.46298/epiga.2024.11658 Farkas, Gavril Farkas, Gavril 0 Normal forms for quasi-elliptic Enriques surfaces and applications Fri, 07 Jun 2024 08:04:26 +0000 https://doi.org/10.46298/epiga.2024.11410 https://doi.org/10.46298/epiga.2024.11410 Katsura, Toshiyuki Schütt, Matthias Katsura, Toshiyuki Schütt, Matthias 0 Interpolation and moduli spaces of vector bundles on very general blowups of the projective plane Mon, 27 May 2024 09:18:25 +0000 https://doi.org/10.46298/epiga.2024.11474 https://doi.org/10.46298/epiga.2024.11474 Coskun, Izzet Huizenga, Jack Coskun, Izzet Huizenga, Jack 0 On the finite generation of valuation semigroups on toric surfaces Sun, 12 May 2024 20:23:59 +0000 https://doi.org/10.46298/epiga.2024.11407 https://doi.org/10.46298/epiga.2024.11407 Altmann, Klaus Haase, Christian Küronya, Alex Schaller, Karin Walter, Lena Altmann, Klaus Haase, Christian Küronya, Alex Schaller, Karin Walter, Lena 0 Derived $F$-zips Thu, 11 Apr 2024 07:21:07 +0000 https://doi.org/10.46298/epiga.2024.10375 https://doi.org/10.46298/epiga.2024.10375 Yaylali, Can Yaylali, Can 0 Quasi-positive orbifold cotangent bundles: Pushing further an example by Junjiro Noguchi Thu, 04 Apr 2024 07:19:23 +0000 https://doi.org/10.46298/epiga.2023.9841 https://doi.org/10.46298/epiga.2023.9841 Darondeau, Lionel Rousseau, Erwan Darondeau, Lionel Rousseau, Erwan 0 The universal vector extension of an abeloid variety Fri, 29 Mar 2024 08:08:57 +0000 https://doi.org/10.46298/epiga.2024.10468 https://doi.org/10.46298/epiga.2024.10468 Maculan, Marco Maculan, Marco 0 Filtered formal groups, Cartier duality, and derived algebraic geometry Tue, 05 Mar 2024 13:49:31 +0000 https://doi.org/10.46298/epiga.2024.7640 https://doi.org/10.46298/epiga.2024.7640 Moulinos, Tasos Moulinos, Tasos 0 Cohomology classes of complex approximable algebras Tue, 13 Feb 2024 10:26:03 +0000 https://doi.org/10.46298/epiga.2023.10865 https://doi.org/10.46298/epiga.2023.10865 Maclean, Catriona Maclean, Catriona 0 On the dual positive cones and the algebraicity of a compact Kähler manifold Fri, 02 Feb 2024 13:14:42 +0000 https://doi.org/10.46298/epiga.2024.10771 https://doi.org/10.46298/epiga.2024.10771 Lin, Hsueh-Yung Lin, Hsueh-Yung 0 Diagonal F-splitting and Symbolic Powers of Ideals 0$ for which the formula makes sense. We use this to show a number of novel containments between symbolic and ordinary powers of prime ideals in this setting, which includes all determinantal rings and a large class of toric rings in positive characteristic. In particular, we show that $P^{(2hn)} \subseteq P^n$ for all prime ideals $P$ of height $h$ in such rings.]]> Mon, 22 Jan 2024 10:47:06 +0000 https://doi.org/10.46298/epiga.2023.9918 https://doi.org/10.46298/epiga.2023.9918 Smolkin, Daniel Smolkin, Daniel 0$ for which the formula makes sense. We use this to show a number of novel containments between symbolic and ordinary powers of prime ideals in this setting, which includes all determinantal rings and a large class of toric rings in positive characteristic. In particular, we show that $P^{(2hn)} \subseteq P^n$ for all prime ideals $P$ of height $h$ in such rings.]]> 0 Categorical absorptions of singularities and degenerations Tue, 09 Jan 2024 09:27:32 +0000 https://doi.org/10.46298/epiga.2024.10836 https://doi.org/10.46298/epiga.2024.10836 Kuznetsov, Alexander Shinder, Evgeny Kuznetsov, Alexander Shinder, Evgeny 0 Generalizations of quasielliptic curves Mon, 08 Jan 2024 09:55:20 +0000 https://doi.org/10.46298/epiga.2024.11181 https://doi.org/10.46298/epiga.2024.11181 Hilario, Cesar Schröer, Stefan Hilario, Cesar Schröer, Stefan 0 On algebraically coisotropic submanifolds of holomorphic symplectic manifolds Thu, 21 Dec 2023 08:07:34 +0000 https://doi.org/10.46298/epiga.2023.10493 https://doi.org/10.46298/epiga.2023.10493 Amerik, Ekaterina Campana, Frédéric Amerik, Ekaterina Campana, Frédéric 0 Finite $F$-representation type for homogeneous coordinate rings of non-Fano varieties Wed, 06 Dec 2023 09:12:09 +0000 https://doi.org/10.46298/epiga.2023.10868 https://doi.org/10.46298/epiga.2023.10868 Mallory, Devlin Mallory, Devlin 0 On the minimal model program for projective varieties with pseudo-effective tangent sheaf Mon, 27 Nov 2023 08:05:12 +0000 https://doi.org/10.46298/epiga.2023.10337 https://doi.org/10.46298/epiga.2023.10337 Matsumura, Shin-ichi Matsumura, Shin-ichi 0 Measures of association between algebraic varieties, II: self-correspondences Tue, 07 Nov 2023 14:35:45 +0000 https://doi.org/10.46298/epiga.2023.11019 https://doi.org/10.46298/epiga.2023.11019 Lazarsfeld, Robert Martin, Olivier Lazarsfeld, Robert Martin, Olivier 0 The second fundamental form of the moduli space of cubic threefolds in $\mathcal A_5$ Fri, 27 Oct 2023 13:26:55 +0000 https://doi.org/10.46298/epiga.2023.9962 https://doi.org/10.46298/epiga.2023.9962 Colombo, Elisabetta Frediani, Paola Naranjo, Juan Carlos Pirola, Gian Pietro Colombo, Elisabetta Frediani, Paola Naranjo, Juan Carlos Pirola, Gian Pietro 0 Remarks on the geometry of the variety of planes of a cubic fivefold Wed, 25 Oct 2023 09:10:55 +0000 https://doi.org/10.46298/epiga.2023.10806 https://doi.org/10.46298/epiga.2023.10806 Mboro, René Mboro, René 0 Cohomology of moduli spaces via a result of Chenevier and Lannes Tue, 03 Oct 2023 06:42:47 +0000 https://doi.org/10.46298/epiga.2023.10307 https://doi.org/10.46298/epiga.2023.10307 Bergström, Jonas Faber, Carel Bergström, Jonas Faber, Carel 0 On a decomposition of $p$-adic Coxeter orbits Wed, 27 Sep 2023 09:42:05 +0000 https://doi.org/10.46298/epiga.2023.8562 https://doi.org/10.46298/epiga.2023.8562 Ivanov, Alexander B. Ivanov, Alexander B. 0 K-stability for varieties with a big anticanonical class Fri, 01 Sep 2023 08:34:24 +0000 https://doi.org/10.46298/epiga.2023.10231 https://doi.org/10.46298/epiga.2023.10231 Xu, Chenyang Xu, Chenyang 0 Torus Actions on Quotients of Affine Spaces Tue, 22 Aug 2023 08:41:01 +0000 https://doi.org/10.46298/epiga.2023.10073 https://doi.org/10.46298/epiga.2023.10073 Brecan, Ana-Maria Franzen, Hans Brecan, Ana-Maria Franzen, Hans 0 Perverse-Hodge complexes for Lagrangian fibrations Mon, 21 Aug 2023 08:15:17 +0000 https://doi.org/10.46298/epiga.2023.9617 https://doi.org/10.46298/epiga.2023.9617 Shen, Junliang Yin, Qizheng Shen, Junliang Yin, Qizheng 0 Chow groups of surfaces of lines in cubic fourfolds Sun, 30 Jul 2023 20:53:19 +0000 https://doi.org/10.46298/epiga.2023.10425 https://doi.org/10.46298/epiga.2023.10425 Huybrechts, Daniel Huybrechts, Daniel 0 Rigidity of projective symmetric manifolds of Picard number 1 associated to composition algebras Thu, 20 Jul 2023 07:39:34 +0000 https://doi.org/10.46298/epiga.2023.10432 https://doi.org/10.46298/epiga.2023.10432 Chen, Yifei Fu, Baohua Li, Qifeng Chen, Yifei Fu, Baohua Li, Qifeng 0 The cotangent bundle of K3 surfaces of degree two Mon, 10 Jul 2023 10:32:25 +0000 https://doi.org/10.46298/epiga.2023.9960 https://doi.org/10.46298/epiga.2023.9960 Anella, Fabrizio Höring, Andreas Anella, Fabrizio Höring, Andreas 0 Smooth subvarieties of Jacobians Mon, 12 Jun 2023 19:39:09 +0000 https://doi.org/10.46298/epiga.2023.10321 https://doi.org/10.46298/epiga.2023.10321 Benoist, Olivier Debarre, Olivier Benoist, Olivier Debarre, Olivier 0 Finiteness for self-dual classes in integral variations of Hodge structure Wed, 31 May 2023 06:23:28 +0000 https://doi.org/10.46298/epiga.2023.specialvolumeinhonourofclairevoisin.9626 https://doi.org/10.46298/epiga.2023.specialvolumeinhonourofclairevoisin.9626 Bakker, Benjamin Grimm, Thomas W. Schnell, Christian Tsimerman, Jacob Bakker, Benjamin Grimm, Thomas W. Schnell, Christian Tsimerman, Jacob 0 On equations of fake projective planes with automorphism group of order $21$ Tue, 30 May 2023 19:37:54 +0000 https://doi.org/10.46298/epiga.2023.8507 https://doi.org/10.46298/epiga.2023.8507 Borisov, Lev Borisov, Lev 0 Affine Subspace Concentration Conditions Tue, 23 May 2023 07:23:39 +0000 https://doi.org/10.46298/epiga.2023.9382 https://doi.org/10.46298/epiga.2023.9382 Wu, Kuang-Yu Wu, Kuang-Yu 0 Curve counting and S-duality Fri, 12 May 2023 09:06:06 +0000 https://doi.org/10.46298/epiga.2023.volume7.9818 https://doi.org/10.46298/epiga.2023.volume7.9818 Feyzbakhsh, Soheyla Thomas, Richard P. Feyzbakhsh, Soheyla Thomas, Richard P. 0 Triangular arrangements on the projective plane Tue, 02 May 2023 07:31:47 +0000 https://doi.org/10.46298/epiga.2023.7323 https://doi.org/10.46298/epiga.2023.7323 Marchesi, Simone Vallès, Jean Marchesi, Simone Vallès, Jean 0 Algebraic subgroups of the group of birational transformations of ruled surfaces Wed, 26 Apr 2023 07:54:14 +0000 https://doi.org/10.46298/epiga.2023.8734 https://doi.org/10.46298/epiga.2023.8734 Fong, Pascal Fong, Pascal 0 Big Picard theorems and algebraic hyperbolicity for varieties admitting a variation of Hodge structures Mon, 24 Apr 2023 09:37:10 +0000 https://doi.org/10.46298/epiga.2023.volume7.8393 https://doi.org/10.46298/epiga.2023.volume7.8393 Deng, Ya Deng, Ya 0 Group-theoretic Johnson classes and a non-hyperelliptic curve with torsion Ceresa class Thu, 30 Mar 2023 06:27:09 +0000 https://doi.org/10.46298/epiga.2023.volume7.6849 https://doi.org/10.46298/epiga.2023.volume7.6849 Bisogno, Dean Li, Wanlin Litt, Daniel Srinivasan, Padmavathi Bisogno, Dean Li, Wanlin Litt, Daniel Srinivasan, Padmavathi 0 Stably semiorthogonally indecomposable varieties Mon, 27 Mar 2023 10:32:07 +0000 https://doi.org/10.46298/epiga.2023.volume7.7700 https://doi.org/10.46298/epiga.2023.volume7.7700 Pirozhkov, Dmitrii Pirozhkov, Dmitrii 0 Reduction of Kummer surfaces modulo 2 in the non-supersingular case Thu, 23 Mar 2023 11:27:51 +0000 https://doi.org/10.46298/epiga.2023.volume7.9657 https://doi.org/10.46298/epiga.2023.volume7.9657 Lazda, Christopher Skorobogatov, Alexei Lazda, Christopher Skorobogatov, Alexei 0 Uniform K-stability of polarized spherical varieties Thu, 23 Mar 2023 11:22:10 +0000 https://doi.org/10.46298/epiga.2022.9959 https://doi.org/10.46298/epiga.2022.9959 Delcroix, Thibaut Delcroix, Thibaut 0 Trace formalism for motivic cohomology Sun, 19 Mar 2023 20:56:36 +0000 https://doi.org/10.46298/epiga.2023.9742 https://doi.org/10.46298/epiga.2023.9742 Abe, Tomoyuki Abe, Tomoyuki 0 Families of stable 3-folds in positive characteristic 0$. As a byproduct, we obtain log canonical 4-fold pairs, whose log canonical centers are not weakly normal.]]> Wed, 15 Feb 2023 10:30:16 +0000 https://doi.org/10.46298/epiga.2023.volume7.9730 https://doi.org/10.46298/epiga.2023.volume7.9730 Kollár, János Kollár, János 0$. As a byproduct, we obtain log canonical 4-fold pairs, whose log canonical centers are not weakly normal.]]> 0 Abundance for slc surfaces over arbitrary fields Wed, 15 Feb 2023 10:27:25 +0000 https://doi.org/10.46298/epiga.2023.volume7.8803 https://doi.org/10.46298/epiga.2023.volume7.8803 Posva, Quentin Posva, Quentin 0 On the motive of O'Grady's six dimensional hyper-Kähler varieties Mon, 13 Feb 2023 09:27:54 +0000 https://doi.org/10.46298/epiga.2022.9758 https://doi.org/10.46298/epiga.2022.9758 Floccari, Salvatore Floccari, Salvatore 0 Quartic surfaces, their bitangents and rational points Fri, 10 Feb 2023 08:50:45 +0000 https://doi.org/10.46298/epiga.2022.8987 https://doi.org/10.46298/epiga.2022.8987 Corvaja, Pietro Zucconi, Francesco Corvaja, Pietro Zucconi, Francesco 0 Smoothability of relative stable maps to stacky curves Wed, 08 Feb 2023 09:16:23 +0000 https://doi.org/10.46298/epiga.2023.volume7.8702 https://doi.org/10.46298/epiga.2023.volume7.8702 Ascher, Kenneth Bejleri, Dori Ascher, Kenneth Bejleri, Dori 0 Serre-invariant stability conditions and Ulrich bundles on cubic threefolds Wed, 25 Jan 2023 08:21:53 +0000 https://doi.org/10.46298/epiga.2022.9611 https://doi.org/10.46298/epiga.2022.9611 Feyzbakhsh, Soheyla Pertusi, Laura Feyzbakhsh, Soheyla Pertusi, Laura 0 Maximality of moduli spaces of vector bundles on curves Fri, 06 Jan 2023 20:53:55 +0000 https://doi.org/10.46298/epiga.2023.8793 https://doi.org/10.46298/epiga.2023.8793 Brugallé, Erwan Schaffhauser, Florent Brugallé, Erwan Schaffhauser, Florent 0 Automorphisms of $\mathbb{P}^1$-bundles over rational surfaces Fri, 06 Jan 2023 20:39:20 +0000 https://doi.org/10.46298/epiga.2023.volume6.7603 https://doi.org/10.46298/epiga.2023.volume6.7603 Blanc, Jérémy Fanelli, Andrea Terpereau, Ronan Blanc, Jérémy Fanelli, Andrea Terpereau, Ronan 0 Walls and asymptotics for Bridgeland stability conditions on 3-folds Thu, 22 Dec 2022 08:20:24 +0000 https://doi.org/10.46298/epiga.2022.6819 https://doi.org/10.46298/epiga.2022.6819 Jardim, Marcos Maciocia, Antony Jardim, Marcos Maciocia, Antony 0 The behavior of essential dimension under specialization Tue, 20 Dec 2022 08:14:45 +0000 https://doi.org/10.46298/epiga.2022.8910 https://doi.org/10.46298/epiga.2022.8910 Reichstein, Zinovy Scavia, Federico Reichstein, Zinovy Scavia, Federico 0 Etale and crystalline companions, I Fri, 02 Dec 2022 09:04:23 +0000 https://doi.org/10.46298/epiga.2022.6820 https://doi.org/10.46298/epiga.2022.6820 Kedlaya, Kiran S. Kedlaya, Kiran S. 0 An atlas of K3 surfaces with finite automorphism group Mon, 28 Nov 2022 10:26:14 +0000 https://doi.org/10.46298/epiga.2022.6286 https://doi.org/10.46298/epiga.2022.6286 Roulleau, Xavier Roulleau, Xavier 0 A characterization of finite étale morphisms in tensor triangular geometry Fri, 21 Oct 2022 07:35:28 +0000 https://doi.org/10.46298/epiga.2022.volume6.7641 https://doi.org/10.46298/epiga.2022.volume6.7641 Sanders, Beren Sanders, Beren 0 Néron models of Jacobians over bases of arbitrary dimension Wed, 21 Sep 2022 13:10:37 +0000 https://doi.org/10.46298/epiga.2022.7340 https://doi.org/10.46298/epiga.2022.7340 Poiret, Thibault Poiret, Thibault 0 Higher Hida and Coleman theories on the modular curve Tue, 13 Sep 2022 07:18:59 +0000 https://doi.org/10.46298/epiga.2022.6112 https://doi.org/10.46298/epiga.2022.6112 Boxer, George Pilloni, Vincent Boxer, George Pilloni, Vincent 0 Tropicalization of the universal Jacobian Mon, 22 Aug 2022 10:03:48 +0000 https://doi.org/10.46298/epiga.2022.8352 https://doi.org/10.46298/epiga.2022.8352 Melo, Margarida Molcho, Samouil Ulirsch, Martin Viviani, Filippo Melo, Margarida Molcho, Samouil Ulirsch, Martin Viviani, Filippo 0 Chern currents of coherent sheaves Sat, 30 Jul 2022 08:26:26 +0000 https://doi.org/10.46298/epiga.2022.8653 https://doi.org/10.46298/epiga.2022.8653 Lärkäng, Richard Wulcan, Elizabeth Lärkäng, Richard Wulcan, Elizabeth 0 Moduli spaces on the Kuznetsov component of Fano threefolds of index 2 Fri, 08 Jul 2022 08:29:23 +0000 https://doi.org/10.46298/epiga.2022.7047 https://doi.org/10.46298/epiga.2022.7047 Altavilla, Matteo Petkovic, Marin Rota, Franco Altavilla, Matteo Petkovic, Marin Rota, Franco 0 A gluing construction of projective K3 surfaces Wed, 06 Jul 2022 10:20:56 +0000 https://doi.org/10.46298/epiga.2022.volume6.8504 https://doi.org/10.46298/epiga.2022.volume6.8504 Koike, Takayuki Uehara, Takato Koike, Takayuki Uehara, Takato 0 Autour de la conjecture de Tate entière pour certains produits de dimension $3$ sur un corps fini Tue, 07 Jun 2022 07:13:13 +0000 https://doi.org/10.46298/epiga.2022.volume6.8550 https://doi.org/10.46298/epiga.2022.volume6.8550 Scavia, Federico Scavia, Federico 0 Examples of surfaces with canonical map of degree 4 Tue, 17 May 2022 11:11:32 +0000 https://doi.org/10.46298/epiga.2022.7615 https://doi.org/10.46298/epiga.2022.7615 Rito, Carlos Rito, Carlos 0 Automorphism group schemes of bielliptic and quasi-bielliptic surfaces Mon, 25 Apr 2022 07:49:04 +0000 https://doi.org/10.46298/epiga.2022.7317 https://doi.org/10.46298/epiga.2022.7317 Martin, Gebhard Martin, Gebhard 0 A conjectural formula for $DR_g(a,-a) \lambda_g$ Wed, 06 Apr 2022 09:24:15 +0000 https://doi.org/10.46298/epiga.2022.8595 https://doi.org/10.46298/epiga.2022.8595 Buryak, Alexandr Iglesias, Francisco Hernández Shadrin, Sergey Buryak, Alexandr Iglesias, Francisco Hernández Shadrin, Sergey 0 The conjectures of Artin-Tate and Birch-Swinnerton-Dyer Mon, 28 Mar 2022 05:29:12 +0000 https://doi.org/10.46298/epiga.2022.7482 https://doi.org/10.46298/epiga.2022.7482 Lichtenbaum, S. Ramachandran, N. Suzuki, T. Lichtenbaum, S. Ramachandran, N. Suzuki, T. 0 $G$-fixed Hilbert schemes on $K3$ surfaces, modular forms, and eta products Wed, 09 Mar 2022 08:24:27 +0000 https://doi.org/10.46298/epiga.2022.6986 https://doi.org/10.46298/epiga.2022.6986 Bryan, Jim Gyenge, Ádám Bryan, Jim Gyenge, Ádám 0 Density of Arithmetic Representations of Function Fields Mon, 07 Mar 2022 07:54:50 +0000 https://doi.org/10.46298/epiga.2022.6568 https://doi.org/10.46298/epiga.2022.6568 Esnault, Hélène Kerz, Moritz Esnault, Hélène Kerz, Moritz 0 Mirror symmetry for Nahm branes Tue, 01 Mar 2022 08:19:04 +0000 https://doi.org/10.46298/epiga.2022.6604 https://doi.org/10.46298/epiga.2022.6604 Franco, Emilio Jardim, Marcos Franco, Emilio Jardim, Marcos 0 Finite torsors over strongly $F$-regular singularities 0$. We prove the existence of a finite local cover $R \subset R^{\star}$ so that $R^{\star}$ is a strongly $F$-regular $k$-germ and: for all finite algebraic groups $G/k$ with solvable neutral component, every $G$-torsor over a big open of $\mathrm{Spec} R^{\star}$ extends to a $G$-torsor everywhere. To achieve this, we obtain a generalized transformation rule for the $F$-signature under finite local extensions. Such formula is used to show that that the torsion of $\mathrm{Cl} R$ is bounded by $1/s(R)$. By taking cones, we conclude that the Picard group of globally $F$-regular varieties is torsion-free. Likewise, it shows that canonical covers of $\mathbb{Q}$-Gorenstein strongly $F$-regular singularities are strongly $F$-regular.]]> Tue, 01 Mar 2022 07:49:43 +0000 https://doi.org/10.46298/epiga.2022.7532 https://doi.org/10.46298/epiga.2022.7532 Carvajal-Rojas, Javier Carvajal-Rojas, Javier 0$. We prove the existence of a finite local cover $R \subset R^{\star}$ so that $R^{\star}$ is a strongly $F$-regular $k$-germ and: for all finite algebraic groups $G/k$ with solvable neutral component, every $G$-torsor over a big open of $\mathrm{Spec} R^{\star}$ extends to a $G$-torsor everywhere. To achieve this, we obtain a generalized transformation rule for the $F$-signature under finite local extensions. Such formula is used to show that that the torsion of $\mathrm{Cl} R$ is bounded by $1/s(R)$. By taking cones, we conclude that the Picard group of globally $F$-regular varieties is torsion-free. Likewise, it shows that canonical covers of $\mathbb{Q}$-Gorenstein strongly $F$-regular singularities are strongly $F$-regular.]]> 0 Integral cohomology of quotients via toric geometry Wed, 23 Feb 2022 06:19:19 +0000 https://doi.org/10.46298/epiga.2022.volume6.5762 https://doi.org/10.46298/epiga.2022.volume6.5762 Menet, Grégoire Menet, Grégoire 0 The Mori fan of the Dolgachev-Nikulin-Voisin family in genus $2$ Fri, 28 Jan 2022 10:20:41 +0000 https://doi.org/10.46298/epiga.2022.5971 https://doi.org/10.46298/epiga.2022.5971 Hulek, Klaus Liese, Carsten Hulek, Klaus Liese, Carsten 0 Quot-scheme limit of Fubini-Study metrics and Donaldson's functional for vector bundles Mon, 03 Jan 2022 07:55:11 +0000 https://doi.org/10.46298/epiga.2022.6577 https://doi.org/10.46298/epiga.2022.6577 Hashimoto, Yoshinori Keller, Julien Hashimoto, Yoshinori Keller, Julien 0 Factorization of the Abel-Jacobi maps Tue, 21 Dec 2021 08:46:10 +0000 https://doi.org/10.46298/epiga.2021.6969 https://doi.org/10.46298/epiga.2021.6969 Suzuki, Fumiaki Suzuki, Fumiaki 0 Moduli spaces of stable sheaves over quasi-polarized surfaces, and the relative Strange Duality morphism Fri, 17 Dec 2021 15:56:12 +0000 https://doi.org/10.46298/epiga.2021.7174 https://doi.org/10.46298/epiga.2021.7174 Makarova, Svetlana Makarova, Svetlana 0 Crepant semi-divisorial log terminal model Fri, 03 Dec 2021 07:08:21 +0000 https://doi.org/10.46298/epiga.2021.7626 https://doi.org/10.46298/epiga.2021.7626 Hashizume, Kenta Hashizume, Kenta 0 Which rational double points occur on del Pezzo surfaces? Mon, 29 Nov 2021 08:29:21 +0000 https://doi.org/10.46298/epiga.2021.7041 https://doi.org/10.46298/epiga.2021.7041 Stadlmayr, Claudia Stadlmayr, Claudia 0 \'Etale triviality of finite equivariant vector bundles Fri, 19 Nov 2021 08:30:53 +0000 https://doi.org/10.46298/epiga.2021.7275 https://doi.org/10.46298/epiga.2021.7275 Biswas, Indranil O'Sullivan, Peter Biswas, Indranil O'Sullivan, Peter 0 The fundamental group of quotients of products of some topological spaces by a finite group - A generalization of a Theorem of Bauer-Catanese-Grunewald-Pignatelli: Le groupe fondamental de quotients de produits de certains espaces topologiques par ungroupe fini — Généralisation d’un théorème de Bauer–Catanese–Grunewald–Pignatelli Tue, 16 Nov 2021 09:59:10 +0000 https://doi.org/10.46298/epiga.2021.6427 https://doi.org/10.46298/epiga.2021.6427 Aguilar, Rodolfo, Aguilar Aguilar, Rodolfo, Aguilar 0 Algebraic subgroups of the plane Cremona group over a perfect field Tue, 16 Nov 2021 08:31:58 +0000 https://doi.org/10.46298/epiga.2021.6715 https://doi.org/10.46298/epiga.2021.6715 Schneider, Julia Zimmermann, Susanna Schneider, Julia Zimmermann, Susanna 0 Non-Archimedean volumes of metrized nef line bundles Tue, 05 Oct 2021 09:19:23 +0000 https://doi.org/10.46298/epiga.2021.6908 https://doi.org/10.46298/epiga.2021.6908 Boucksom, Sébastien Gubler, Walter Martin, Florent Boucksom, Sébastien Gubler, Walter Martin, Florent 0 Torus actions, Morse homology, and the Hilbert scheme of points on affine space Tue, 31 Aug 2021 07:15:30 +0000 https://doi.org/10.46298/epiga.2021.6792 https://doi.org/10.46298/epiga.2021.6792 Totaro, Burt Totaro, Burt 0 Divisorial contractions to codimension three orbits Mon, 12 Jul 2021 08:39:15 +0000 https://doi.org/10.46298/epiga.2021.7020 https://doi.org/10.46298/epiga.2021.7020 Boissière, Samuel Floris, Enrica Boissière, Samuel Floris, Enrica 0 The space of twisted cubics Thu, 03 Jun 2021 06:57:18 +0000 https://doi.org/10.46298/epiga.2021.volume5.5573 https://doi.org/10.46298/epiga.2021.volume5.5573 Heinrich, Katharina Skjelnes, Roy Stevens, Jan Heinrich, Katharina Skjelnes, Roy Stevens, Jan 0 On the infinite loop spaces of algebraic cobordism and the motivic sphere Wed, 19 May 2021 07:14:22 +0000 https://doi.org/10.46298/epiga.2021.volume5.6581 https://doi.org/10.46298/epiga.2021.volume5.6581 Bachmann, Tom Elmanto, Elden Hoyois, Marc Khan, Adeel A. Sosnilo, Vladimir Yakerson, Maria Bachmann, Tom Elmanto, Elden Hoyois, Marc Khan, Adeel A. Sosnilo, Vladimir Yakerson, Maria 0 The Cohen-Macaulay representation type of arithmetically Cohen-Macaulay varieties Wed, 12 May 2021 07:45:30 +0000 https://doi.org/10.46298/epiga.2021.volume5.7113 https://doi.org/10.46298/epiga.2021.volume5.7113 Faenzi, Daniele Pons-Llopis, Joan Faenzi, Daniele Pons-Llopis, Joan 0 Bialynicki-Birula schemes in higher dimensional Hilbert schemes of points and monic functors Thu, 29 Apr 2021 06:31:46 +0000 https://doi.org/10.46298/epiga.2021.volume5.5618 https://doi.org/10.46298/epiga.2021.volume5.5618 Evain, Laurent Lederer, Mathias Evain, Laurent Lederer, Mathias 0 Compact connected components in relative character varieties of punctured spheres Mon, 19 Apr 2021 10:59:25 +0000 https://doi.org/10.46298/epiga.2021.volume5.5894 https://doi.org/10.46298/epiga.2021.volume5.5894 Tholozan, Nicolas Toulisse, Jérémy Tholozan, Nicolas Toulisse, Jérémy 0 A note on Lang's conjecture for quotients of bounded domains Thu, 25 Mar 2021 10:23:12 +0000 https://doi.org/10.46298/epiga.2021.volume5.6050 https://doi.org/10.46298/epiga.2021.volume5.6050 Boucksom, Sébastien Diverio, Simone Boucksom, Sébastien Diverio, Simone 0 Combinatorial Reid's recipe for consistent dimer models Fri, 26 Feb 2021 09:04:17 +0000 https://doi.org/10.46298/epiga.2021.volume5.6085 https://doi.org/10.46298/epiga.2021.volume5.6085 Craw, Alastair Heuberger, Liana Amador, Jesus Tapia Craw, Alastair Heuberger, Liana Amador, Jesus Tapia 0 Complex reflection groups and K3 surfaces I Thu, 25 Feb 2021 09:33:29 +0000 https://doi.org/10.46298/epiga.2021.volume5.6573 https://doi.org/10.46298/epiga.2021.volume5.6573 Bonnafé, Cédric Sarti, Alessandra Bonnafé, Cédric Sarti, Alessandra 0 Motives with modulus, II: Modulus sheaves with transfers for proper modulus pairs Thu, 21 Jan 2021 08:44:26 +0000 https://doi.org/10.46298/epiga.2021.volume5.5980 https://doi.org/10.46298/epiga.2021.volume5.5980 Kahn, Bruno Miyazaki, Hiroyasu Saito, Shuji Yamazaki, Takao Kahn, Bruno Miyazaki, Hiroyasu Saito, Shuji Yamazaki, Takao 0 Motives with modulus, I: Modulus sheaves with transfers for non-proper modulus pairs Thu, 21 Jan 2021 08:42:54 +0000 https://doi.org/10.46298/epiga.2021.volume5.5979 https://doi.org/10.46298/epiga.2021.volume5.5979 Kahn, Bruno Miyazaki, Hiroyasu Saito, Shuji Yamazaki, Takao Kahn, Bruno Miyazaki, Hiroyasu Saito, Shuji Yamazaki, Takao 0 Exceptional collections on certain Hassett spaces Tue, 05 Jan 2021 09:08:27 +0000 https://doi.org/10.46298/epiga.2021.volume4.6456 https://doi.org/10.46298/epiga.2021.volume4.6456 Castravet, Ana-Maria Tevelev, Jenia Castravet, Ana-Maria Tevelev, Jenia 0 Gushel--Mukai varieties: intermediate Jacobians Thu, 17 Dec 2020 08:11:04 +0000 https://doi.org/10.46298/epiga.2020.volume4.6475 https://doi.org/10.46298/epiga.2020.volume4.6475 Debarre, Olivier Kuznetsov, Alexander Debarre, Olivier Kuznetsov, Alexander 0 Opers of higher types, Quot-schemes and Frobenius instability loci 0$. In a previous paper we identified the "maximal" Frobenius instability strata with opers (more precisely as opers of type $1$ in the terminology of the present paper) and related them to certain Quot-schemes of Frobenius direct images of line bundles. The main aim of this paper is to describe for any integer $q \geq 1$ a conjectural generalization of this correspondence between opers of type $q$ (which we introduce here) and Quot-schemes of Frobenius direct images of vector bundles of rank $q$. We also give a conjectural formula for the dimension of the Frobenius instability locus.]]> Tue, 08 Dec 2020 09:34:48 +0000 https://doi.org/10.46298/epiga.2020.volume4.5721 https://doi.org/10.46298/epiga.2020.volume4.5721 Joshi, Kirti Pauly, Christian Joshi, Kirti Pauly, Christian 0$. In a previous paper we identified the "maximal" Frobenius instability strata with opers (more precisely as opers of type $1$ in the terminology of the present paper) and related them to certain Quot-schemes of Frobenius direct images of line bundles. The main aim of this paper is to describe for any integer $q \geq 1$ a conjectural generalization of this correspondence between opers of type $q$ (which we introduce here) and Quot-schemes of Frobenius direct images of vector bundles of rank $q$. We also give a conjectural formula for the dimension of the Frobenius instability locus.]]> 0 Rationally connected rational double covers of primitive Fano varieties Mon, 30 Nov 2020 07:48:34 +0000 https://doi.org/10.46298/epiga.2020.volume4.5890 https://doi.org/10.46298/epiga.2020.volume4.5890 Pukhlikov, Aleksandr V. Pukhlikov, Aleksandr V. 0 The equivalence of several conjectures on independence of $\ell$ Mon, 30 Nov 2020 07:24:06 +0000 https://doi.org/10.46298/epiga.2020.volume4.5570 https://doi.org/10.46298/epiga.2020.volume4.5570 de Bruyn, Remy van Dobben de Bruyn, Remy van Dobben 0 Refined Verlinde formulas for Hilbert schemes of points and moduli spaces of sheaves on K3 surfaces Fri, 09 Oct 2020 07:14:29 +0000 https://doi.org/10.46298/epiga.2020.volume4.5282 https://doi.org/10.46298/epiga.2020.volume4.5282 Göttsche, Lothar Göttsche, Lothar 0 Le problème de la schématisation de Grothendieck revisité Mon, 05 Oct 2020 08:09:53 +0000 https://doi.org/10.46298/epiga.2020.volume4.6060 https://doi.org/10.46298/epiga.2020.volume4.6060 Toën, Bertrand Toën, Bertrand 0 Covariants, Invariant Subsets, and First Integrals Fri, 25 Sep 2020 07:47:42 +0000 https://doi.org/10.46298/epiga.2020.volume4.5976 https://doi.org/10.46298/epiga.2020.volume4.5976 Grosshans, Frank Kraft, Hanspeter Grosshans, Frank Kraft, Hanspeter 0 Zero cycles on the moduli space of curves Thu, 03 Sep 2020 19:00:12 +0000 https://doi.org/10.46298/epiga.2020.volume4.5601 https://doi.org/10.46298/epiga.2020.volume4.5601 Pandharipande, Rahul Schmitt, Johannes Pandharipande, Rahul Schmitt, Johannes 0 The maximal unipotent finite quotient, unusual torsion in Fano threefolds, and exceptional Enriques surfaces Wed, 19 Aug 2020 09:31:10 +0000 https://doi.org/10.46298/epiga.2020.volume4.6151 https://doi.org/10.46298/epiga.2020.volume4.6151 Fanelli, Andrea Schröer, Stefan Fanelli, Andrea Schröer, Stefan 0 Explicit equations of the Cartwright-Steger surface Fri, 10 Jul 2020 08:24:54 +0000 https://doi.org/10.46298/epiga.2020.volume4.5662 https://doi.org/10.46298/epiga.2020.volume4.5662 Borisov, Lev A. Yeung, Sai-Kee Borisov, Lev A. Yeung, Sai-Kee 0 The spectral gluing theorem revisited Fri, 03 Jul 2020 08:16:19 +0000 https://doi.org/10.46298/epiga.2020.volume4.5940 https://doi.org/10.46298/epiga.2020.volume4.5940 Beraldo, Dario Beraldo, Dario 0 Remarks on the positivity of the cotangent bundle of a K3 surface Tue, 23 Jun 2020 07:02:01 +0000 https://doi.org/10.46298/epiga.2020.volume4.5924 https://doi.org/10.46298/epiga.2020.volume4.5924 Gounelas, Frank Ottem, John Christian Gounelas, Frank Ottem, John Christian 0 Fujiki relations and fibrations of irreducible symplectic varieties Fri, 19 Jun 2020 07:57:20 +0000 https://doi.org/10.46298/epiga.2020.volume4.4557 https://doi.org/10.46298/epiga.2020.volume4.4557 Schwald, Martin Schwald, Martin 0 Finiteness of cohomology groups of stacks of shtukas as modules over Hecke algebras, and applications Wed, 17 Jun 2020 09:01:04 +0000 https://doi.org/10.46298/epiga.2020.volume4.5550 https://doi.org/10.46298/epiga.2020.volume4.5550 Xue, Cong Xue, Cong 0 Sur l'existence du schéma en groupes fondamental Mon, 08 Jun 2020 17:00:16 +0000 https://doi.org/10.46298/epiga.2020.volume4.5436 https://doi.org/10.46298/epiga.2020.volume4.5436 Antei, Marco Emsalem, Michel Gasbarri, Carlo Antei, Marco Emsalem, Michel Gasbarri, Carlo 0 Smooth projective horospherical varieties of Picard group $\mathbb{Z}^2$ Sun, 19 Apr 2020 14:14:29 +0000 https://doi.org/10.46298/epiga.2020.volume4.5090 https://doi.org/10.46298/epiga.2020.volume4.5090 Pasquier, Boris Pasquier, Boris 0 On the group of zero-cycles of holomorphic symplectic varieties Fri, 13 Mar 2020 07:50:15 +0000 https://doi.org/10.46298/epiga.2020.volume4.5506 https://doi.org/10.46298/epiga.2020.volume4.5506 Marian, Alina Zhao, Xiaolei Marian, Alina Zhao, Xiaolei 0 Hyperelliptic classes are rigid and extremal in genus two Fri, 21 Feb 2020 11:21:34 +0000 https://doi.org/10.46298/epiga.2020.volume4.4902 https://doi.org/10.46298/epiga.2020.volume4.4902 Blankers, Vance Blankers, Vance 0 Free Proalgebraic Groups Wed, 19 Feb 2020 08:33:41 +0000 https://doi.org/10.46298/epiga.2020.volume4.5733 https://doi.org/10.46298/epiga.2020.volume4.5733 Wibmer, Michael Wibmer, Michael 0 Variation of stable birational types in positive characteristic Mon, 27 Jan 2020 08:51:33 +0000 https://doi.org/10.46298/epiga.2020.volume3.5728 https://doi.org/10.46298/epiga.2020.volume3.5728 Schreieder, Stefan Schreieder, Stefan 0 Weighted Projective Lines and Rational Surface Singularities Tue, 14 Jan 2020 09:02:55 +0000 https://doi.org/10.46298/epiga.2020.volume3.4761 https://doi.org/10.46298/epiga.2020.volume3.4761 Iyama, Osamu Wemyss, Michael Iyama, Osamu Wemyss, Michael 0 CARTAN GEOMETRIES ON COMPLEX MANIFOLDS OF ALGEBRAIC DIMENSION ZERO Thu, 05 Dec 2019 09:10:36 +0000 https://doi.org/10.46298/epiga.2019.volume3.4460 https://doi.org/10.46298/epiga.2019.volume3.4460 Biswas, Indranil Dumitrescu, Sorin Mckay, Benjamin Biswas, Indranil Dumitrescu, Sorin Mckay, Benjamin 0 Rigidity properties of holomorphic Legendrian singularities Thu, 05 Dec 2019 08:04:06 +0000 https://doi.org/10.46298/epiga.2019.volume3.4495 https://doi.org/10.46298/epiga.2019.volume3.4495 Hwang, Jun-Muk Hwang, Jun-Muk 0 Higher rank sheaves on threefolds and functional equations Tue, 03 Dec 2019 09:54:47 +0000 https://doi.org/10.46298/epiga.2019.volume3.4375 https://doi.org/10.46298/epiga.2019.volume3.4375 Gholampour, Amin Kool, Martijn Gholampour, Amin Kool, Martijn 0 Isomorphisms between complements of projective plane curves Wed, 13 Nov 2019 08:59:03 +0000 https://doi.org/10.46298/epiga.2019.volume3.5541 https://doi.org/10.46298/epiga.2019.volume3.5541 Hemmig, Mattias Hemmig, Mattias 0 Coincidence of two Swan conductors of abelian characters Mon, 11 Nov 2019 20:22:49 +0000 https://doi.org/10.46298/epiga.2019.volume3.5395 https://doi.org/10.46298/epiga.2019.volume3.5395 Kato, Kazuya Saito, Takeshi Kato, Kazuya Saito, Takeshi 0 Chern classes of automorphic vector bundles, II Thu, 24 Oct 2019 09:21:37 +0000 https://doi.org/10.46298/epiga.2019.volume3.4238 https://doi.org/10.46298/epiga.2019.volume3.4238 Esnault, Hélène Harris, Michael Esnault, Hélène Harris, Michael 0 On the B-Semiampleness Conjecture Tue, 15 Oct 2019 07:07:14 +0000 https://doi.org/10.46298/epiga.2019.volume3.5063 https://doi.org/10.46298/epiga.2019.volume3.5063 Floris, Enrica Lazić, Vladimir Floris, Enrica Lazić, Vladimir 0 Sur l'hyperbolicité de graphes associés au groupe de Cremona Mon, 23 Sep 2019 06:56:40 +0000 https://doi.org/10.46298/epiga.2019.volume3.4895 https://doi.org/10.46298/epiga.2019.volume3.4895 Lonjou, Anne Lonjou, Anne 0 Smooth affine group schemes over the dual numbers Mon, 01 Jul 2019 09:51:25 +0000 https://doi.org/10.46298/epiga.2019.volume3.4792 https://doi.org/10.46298/epiga.2019.volume3.4792 Romagny, Matthieu Tossici, Dajano Romagny, Matthieu Tossici, Dajano 0 Q_l-cohomology projective planes and singular Enriques surfaces in characteristic two Wed, 26 Jun 2019 09:25:55 +0000 https://doi.org/10.46298/epiga.2019.volume3.3990 https://doi.org/10.46298/epiga.2019.volume3.3990 Schütt, Matthias Schütt, Matthias 0 Equivariant perverse sheaves on Coxeter arrangements and buildings Fri, 21 Jun 2019 12:14:37 +0000 https://doi.org/10.46298/epiga.2019.volume3.4353 https://doi.org/10.46298/epiga.2019.volume3.4353 Weissman, Martin H. Weissman, Martin H. 0 Pluricomplex Green's functions and Fano manifolds Fri, 21 Jun 2019 12:08:08 +0000 https://doi.org/10.46298/epiga.2019.volume3.4706 https://doi.org/10.46298/epiga.2019.volume3.4706 McCleerey, Nicholas Tosatti, Valentino McCleerey, Nicholas Tosatti, Valentino 0 Irregular Hodge numbers of confluent hypergeometric differential equations Thu, 06 Jun 2019 08:01:58 +0000 https://doi.org/10.46298/epiga.2019.volume3.5032 https://doi.org/10.46298/epiga.2019.volume3.5032 Sabbah, Claude Yu, Jeng-Daw Sabbah, Claude Yu, Jeng-Daw 0 P-adic lattices are not Kähler groups Tue, 21 May 2019 16:32:15 +0000 https://doi.org/10.46298/epiga.2019.volume3.4842 https://doi.org/10.46298/epiga.2019.volume3.4842 Klingler, Bruno Klingler, Bruno 0 Socle pairings on tautological rings Tue, 02 Apr 2019 07:04:09 +0000 https://doi.org/10.46298/epiga.2019.volume3.3784 https://doi.org/10.46298/epiga.2019.volume3.3784 Janda, Felix Pixton, Aaron Janda, Felix Pixton, Aaron 0 Double spinor Calabi-Yau varieties Mon, 01 Apr 2019 05:31:34 +0000 https://doi.org/10.46298/epiga.2019.volume3.3965 https://doi.org/10.46298/epiga.2019.volume3.3965 Manivel, Laurent Manivel, Laurent 0 $\overline{M}_{1,n}$ is usually not uniruled in characteristic $p$ Wed, 20 Mar 2019 08:34:46 +0000 https://doi.org/10.46298/epiga.2019.volume3.4134 https://doi.org/10.46298/epiga.2019.volume3.4134 Sawin, Will Sawin, Will 0 Infinite families of inequivalent real circle actions on affine four-space Fri, 01 Mar 2019 08:44:04 +0000 https://doi.org/10.46298/epiga.2019.volume3.4685 https://doi.org/10.46298/epiga.2019.volume3.4685 Moser-Jauslin, Lucy Moser-Jauslin, Lucy 0 Smoothing cones over K3 surfaces Fri, 21 Dec 2018 13:54:07 +0000 https://doi.org/10.46298/epiga.2018.volume2.4055 https://doi.org/10.46298/epiga.2018.volume2.4055 Coughlan, Stephen Sano, Taro Coughlan, Stephen Sano, Taro 0 Troisième groupe de cohomologie non ramifiée d'un solide cubique sur un corps de fonctions d'une variable Mon, 10 Dec 2018 08:28:53 +0000 https://doi.org/10.46298/epiga.2018.volume2.3950 https://doi.org/10.46298/epiga.2018.volume2.3950 Colliot-Thélène, Jean-Louis Pirutka, Alena Colliot-Thélène, Jean-Louis Pirutka, Alena 0 Algebraic models of the Euclidean plane Wed, 05 Dec 2018 12:44:51 +0000 https://doi.org/10.46298/epiga.2018.volume2.4511 https://doi.org/10.46298/epiga.2018.volume2.4511 Blanc, Jérémy Dubouloz, Adrien Blanc, Jérémy Dubouloz, Adrien 0 Troisième groupe de cohomologie non ramifiée des torseurs universels sur les surfaces rationnelles Thu, 22 Nov 2018 08:27:29 +0000 https://doi.org/10.46298/epiga.2018.volume2.3302 https://doi.org/10.46298/epiga.2018.volume2.3302 Cao, Yang Cao, Yang 0 The parabolic exotic t-structure Wed, 21 Nov 2018 11:30:46 +0000 https://doi.org/10.46298/epiga.2018.volume2.4520 https://doi.org/10.46298/epiga.2018.volume2.4520 Achar, Pramod N Cooney, Nicholas Riche, Simon Achar, Pramod N Cooney, Nicholas Riche, Simon 0 Lefschetz (1,1)-theorem in tropical geometry Mon, 19 Nov 2018 13:11:07 +0000 https://doi.org/10.46298/epiga.2018.volume2.4126 https://doi.org/10.46298/epiga.2018.volume2.4126 Jell, Philipp Rau, Johannes Shaw, Kristin Jell, Philipp Rau, Johannes Shaw, Kristin 0 Hamiltonian actions of unipotent groups on compact Kähler manifolds Fri, 09 Nov 2018 09:29:13 +0000 https://doi.org/10.46298/epiga.2018.volume2.4486 https://doi.org/10.46298/epiga.2018.volume2.4486 Greb, Daniel Miebach, Christian Greb, Daniel Miebach, Christian 0 Limits of the trivial bundle on a curve Thu, 01 Nov 2018 09:24:41 +0000 https://doi.org/10.46298/epiga.2018.volume2.4454 https://doi.org/10.46298/epiga.2018.volume2.4454 Beauville, Arnaud Beauville, Arnaud 0 Hyper-Kähler Fourfolds Fibered by Elliptic Products Fri, 21 Sep 2018 13:45:46 +0000 https://doi.org/10.46298/epiga.2018.volume2.3983 https://doi.org/10.46298/epiga.2018.volume2.3983 Kamenova, Ljudmila Kamenova, Ljudmila 0 A characterization of finite vector bundles on Gauduchon astheno-Kahler manifolds Fri, 21 Sep 2018 13:43:30 +0000 https://doi.org/10.46298/epiga.2018.volume2.4209 https://doi.org/10.46298/epiga.2018.volume2.4209 Biswas, Indranil Pingali, Vamsi Pritham Biswas, Indranil Pingali, Vamsi Pritham 0 Crepant resolutions and open strings II Fri, 06 Jul 2018 08:50:56 +0000 https://doi.org/10.46298/epiga.2018.volume2.3879 https://doi.org/10.46298/epiga.2018.volume2.3879 Brini, Andrea Cavalieri, Renzo Brini, Andrea Cavalieri, Renzo 0 Stable rationality of higher dimensional conic bundles Tue, 12 Jun 2018 07:30:09 +0000 https://doi.org/10.46298/epiga.2018.volume2.4266 https://doi.org/10.46298/epiga.2018.volume2.4266 Abban, Hamid Okada, Takuzo Abban, Hamid Okada, Takuzo 0 Prime Fano threefolds of genus 12 with a $G_m$-action Mon, 04 Jun 2018 11:12:50 +0000 https://doi.org/10.46298/epiga.2018.volume2.4179 https://doi.org/10.46298/epiga.2018.volume2.4179 Kuznetsov, Alexander Prokhorov, Yuri Kuznetsov, Alexander Prokhorov, Yuri 0 On the Prym variety of genus 3 covers of genus 1 curves Thu, 29 Mar 2018 07:37:05 +0000 https://doi.org/10.46298/epiga.2018.volume2.3663 https://doi.org/10.46298/epiga.2018.volume2.3663 Ritzenthaler, Christophe Romagny, Matthieu Ritzenthaler, Christophe Romagny, Matthieu 0 Abundance for varieties with many differential forms Tue, 13 Feb 2018 08:29:08 +0000 https://doi.org/10.46298/epiga.2018.volume2.3867 https://doi.org/10.46298/epiga.2018.volume2.3867 Lazić, Vladimir Peternell, Thomas Lazić, Vladimir Peternell, Thomas 0 Hilbert-Mumford stability on algebraic stacks and applications to $\mathcal{G}$-bundles on curves Mon, 15 Jan 2018 16:02:29 +0000 https://doi.org/10.46298/epiga.2018.volume1.2062 https://doi.org/10.46298/epiga.2018.volume1.2062 Heinloth, Jochen Heinloth, Jochen 0 Wonderful compactifications of Bruhat-Tits buildings Tue, 12 Dec 2017 13:09:13 +0000 https://doi.org/10.46298/epiga.2017.volume1.3133 https://doi.org/10.46298/epiga.2017.volume1.3133 Remy, Bertrand Thuillier, Amaury Werner, Annette Remy, Bertrand Thuillier, Amaury Werner, Annette 0 Haas' theorem revisited Fri, 01 Sep 2017 08:02:36 +0000 https://doi.org/10.46298/epiga.2017.volume1.2030 https://doi.org/10.46298/epiga.2017.volume1.2030 Bertrand, Benoît Brugallé, Erwan Renaudineau, Arthur Bertrand, Benoît Brugallé, Erwan Renaudineau, Arthur 0 On a theorem of Campana and Păun Fri, 01 Sep 2017 08:01:25 +0000 https://doi.org/10.46298/epiga.2017.volume1.3281 https://doi.org/10.46298/epiga.2017.volume1.3281 Schnell, Christian Schnell, Christian 0 Syzygies of Prym and paracanonical curves of genus 8 Fri, 01 Sep 2017 08:00:35 +0000 https://doi.org/10.46298/epiga.2017.volume1.2602 https://doi.org/10.46298/epiga.2017.volume1.2602 Colombo, Elisabetta Farkas, Gavril Verra, Alessandro Voisin, Claire Colombo, Elisabetta Farkas, Gavril Verra, Alessandro Voisin, Claire 0 Finiteness of the space of n-cycles for a reduced (n − 2)-concave complex space Fri, 01 Sep 2017 07:59:32 +0000 https://doi.org/10.46298/epiga.2017.volume1.1521 https://doi.org/10.46298/epiga.2017.volume1.1521 Barlet, Daniel Barlet, Daniel 0 Correspondences between convex geometry and complex geometry Fri, 01 Sep 2017 07:57:23 +0000 https://doi.org/10.46298/epiga.2017.volume1.2038 https://doi.org/10.46298/epiga.2017.volume1.2038 Lehmann, Brian Xiao, Jian Lehmann, Brian Xiao, Jian 0 Some remarks on regular foliations with numerically trivial canonical class Fri, 01 Sep 2017 07:56:25 +0000 https://doi.org/10.46298/epiga.2017.volume1.2057 https://doi.org/10.46298/epiga.2017.volume1.2057 Druel, Stéphane Druel, Stéphane 0 On complete reducibility in characteristic $p$ Fri, 01 Sep 2017 07:54:52 +0000 https://doi.org/10.46298/epiga.2017.volume1.2201 https://doi.org/10.46298/epiga.2017.volume1.2201 Balaji, V. Deligne, P. Parameswaran, A. J. Balaji, V. Deligne, P. Parameswaran, A. J. 0 Bridgeland Stability Conditions on Fano Threefolds Fri, 01 Sep 2017 07:53:56 +0000 https://doi.org/10.46298/epiga.2017.volume1.2008 https://doi.org/10.46298/epiga.2017.volume1.2008 Bernardara, Marcello Macrì, Emanuele Schmidt, Benjamin Zhao, Xiaolei Bernardara, Marcello Macrì, Emanuele Schmidt, Benjamin Zhao, Xiaolei 0 Conic bundles that are not birational to numerical Calabi--Yau pairs Fri, 01 Sep 2017 07:51:36 +0000 https://doi.org/10.46298/epiga.2017.volume1.1518 https://doi.org/10.46298/epiga.2017.volume1.1518 Kollár, János Kollár, János 0