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arXiv · 2608.30671

On the first-order deformations of seminormal affine toric varieties

Konstantin Egert·Hendrik Süß
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Abstract

We provide a general description of the module $T^1_X$ of first-order infinitesimal deformations of a not necessarily normal affine toric variety $X$ with a special emphasis on seminormal varieties satisfying Serre's $(S_2)$ condition. In the surface case we are able to give a very detailed and concrete picture which includes the dimension of each homogeneous component.

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Konstantin Egert, Hendrik Süß. 2026-08-31. On the first-order deformations of seminormal affine toric varieties. https://arxiv.org/abs/2608.30671

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