English

Local log-regular rings vs. toric rings

Commutative Algebra 2025-04-08 v4

Abstract

Local log-regular rings are a certain class of Cohen-Macaulay local rings that are treated in logarithmic geometry. Our paper aims to provide purely commutative ring theoretic proof of some ring-theoretic properties of local log-regular rings such as an explicit description of a canonical module, and the finite generation of the divisor class group.

Keywords

Cite

@article{arxiv.2209.04828,
  title  = {Local log-regular rings vs. toric rings},
  author = {Shinnosuke Ishiro},
  journal= {arXiv preprint arXiv:2209.04828},
  year   = {2025}
}

Comments

Final version

R2 v1 2026-06-28T01:04:53.386Z