English

Local cohomology tables of sequentially almost Cohen-Macaulay modules

Commutative Algebra 2025-03-17 v3

Abstract

Let RR be a polynomial ring over a field. We introduce the concept of sequentially almost Cohen-Macaulay modules and describe the extremal rays of the cone of local cohomology tables of finitely generated graded RR-modules which are sequentially almost Cohen-Macaulay, and describe some cases when the local cohomology table of a module of dimension 3 has a nontrivial decomposition.

Keywords

Cite

@article{arxiv.2111.07536,
  title  = {Local cohomology tables of sequentially almost Cohen-Macaulay modules},
  author = {Cheng Meng},
  journal= {arXiv preprint arXiv:2111.07536},
  year   = {2025}
}

Comments

Final version, published in Journal of Algebra