English

Gorenstein graphic matroids

Combinatorics 2021-11-30 v1 Commutative Algebra

Abstract

The toric variety of a matroid is projectively normal, and therefore it is Cohen-Macaulay. We provide a complete graph-theoretic classification when the toric variety of a graphic matroid is Gorenstein.

Keywords

Cite

@article{arxiv.1905.05418,
  title  = {Gorenstein graphic matroids},
  author = {Takayuki Hibi and Michał Lasoń and Kazunori Matsuda and Mateusz Michałek and Martin Vodička},
  journal= {arXiv preprint arXiv:1905.05418},
  year   = {2021}
}
R2 v1 2026-06-23T09:05:35.962Z