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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 T1X of first-order infinitesimal deformations of a not necessarily normal affine toric variety X with a special emphasis on seminormal varieties satisfying Serre's (S2) 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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Cite

BibTeXRIS
BibTeX
@misc{egert2026firstorder,
  title = {{On the first-order deformations of seminormal affine toric varieties}},
  author = {Konstantin Egert and Hendrik Süß},
  howpublished = {arXiv},
  year = {2026},
  month = aug,
  doi = {10.48550/arxiv.2608.30671},
  eprint = {2608.30671},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.30671},
}
RIS
TY  - UNPB
TI  - On the first-order deformations of seminormal affine toric varieties
AU  - Konstantin Egert
AU  - Hendrik Süß
PY  - 2026
DA  - 2026/08/31
PB  - arXiv
DO  - 10.48550/arxiv.2608.30671
UR  - https://arxiv.org/abs/2608.30671
AB  - 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.
ER  -