English

Seminormal toric varieties

Algebraic Geometry 2025-03-31 v2

Abstract

In this paper, we provide a combinatorial description of seminormal toric varieties. The corresponding combinatorial object is a fan equipped with a collection of groups assigned to each cone. This framework introduces a more general class of toric varieties than classical normal toric varieties, while having simpler combinatorial data compared to general non-normal toric varieties.

Keywords

Cite

@article{arxiv.2412.13789,
  title  = {Seminormal toric varieties},
  author = {François Bernard and Antoine Boivin},
  journal= {arXiv preprint arXiv:2412.13789},
  year   = {2025}
}

Comments

17 pages

R2 v1 2026-06-28T20:40:23.271Z