Affine Subspace Concentration Conditions
Algebraic Geometry
2026-04-29 v2
Abstract
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 on Fano toric varieties.
Cite
@article{arxiv.2201.06062,
title = {Affine Subspace Concentration Conditions},
author = {Kuang-Yu Wu},
journal= {arXiv preprint arXiv:2201.06062},
year = {2026}
}
Comments
14 pages, v2: published version, revisions following referee's comments, major changes in Lemma 3.2 and its proof, to appear in EPIGA