English

The divisor class group of a discrete polymatroid

Commutative Algebra 2024-06-11 v2

Abstract

In this paper we introduce toric rings of multicomplexes. We show how to compute the divisor class group and the class of the canonical module when the toric ring is normal. In the special case that the multicomplex is a discrete polymatroid, its toric ring is studied deeply for several classes of polymatroids.

Keywords

Cite

@article{arxiv.2302.12475,
  title  = {The divisor class group of a discrete polymatroid},
  author = {Jürgen Herzog and Takayuki Hibi and Somayeh Moradi and Ayesha Asloob Qureshi},
  journal= {arXiv preprint arXiv:2302.12475},
  year   = {2024}
}
R2 v1 2026-06-28T08:48:34.744Z