Conic bundles that are not birational to numerical Calabi--Yau pairs
Authors: János Kollár
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János Kollár
Let $X$ be a general conic bundle over the projective plane with branch curve
of degree at least 19. We prove that there is no normal projective variety $Y$
that is birational to $X$ and such that some multiple of its anticanonical
divisor is effective. We also give such examples for 2-dimensional conic
bundles defined over a number field.
Conic bundles that are not birational to numerical Calabi--Yau pairs
2 Documents citing this article
Source : OpenCitations
Kummer, Mario; Le Texier, CĂŠdric; Manzaroli, Matilde, 2022, Real-Fibered Morphisms Of Del Pezzo Surfaces And Conic Bundles, Discrete & Computational Geometry, 69, 3, pp. 849-872, 10.1007/s00454-022-00427-3.
Whang, Junho Peter, 2020, Global Geometry On Moduli Of Local Systems For Surfaces With Boundary, Compositio Mathematica, 156, 8, pp. 1517-1559, 10.1112/s0010437x20007241.