Mathematics > Algebraic Geometry
[Submitted on 16 Jan 2022 (v1), last revised 22 May 2023 (this version, v2)]
Title:Affine Subspace Concentration Conditions
View PDFAbstract: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.
Submission history
From: Kuang-Yu Wu [view email][v1] Sun, 16 Jan 2022 14:57:38 UTC (20 KB)
[v2] Mon, 22 May 2023 14:47:26 UTC (96 KB)
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