Kuang-Yu Wu - Affine Subspace Concentration Conditions

epiga:9382 - Épijournal de Géométrie Algébrique, May 23, 2023, Volume 7 - https://doi.org/10.46298/epiga.2023.9382
Affine Subspace Concentration Conditions

Authors: Kuang-Yu Wu

    We define a new notion of affine subspace concentration conditions for lattice polytopes, and prove that they hold for smooth and reflexive polytopes with barycenter at the origin. Our proof involves considering the slope stability of the canonical extension of the tangent bundle by the trivial line bundle and with the extension class $c_1(\mathcal{T}_X)$ on Fano toric varieties.

    Volume: Volume 7
    Published on: May 23, 2023
    Accepted on: May 23, 2023
    Submitted on: April 25, 2022
    Keywords: Mathematics - Algebraic Geometry,14M25, 14J60, 52B20

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