English

Regularity of linearly presented squarefree monomial ideals

Commutative Algebra 2024-06-18 v1

Abstract

We prove a sharp bound for the regularity of a squarefree monomial ideal with a linear presentation. This result also answers in positive a question on the cohomological dimension of squarefree monomial ideals satisfying Serre's S2S_2-condition proposed by Dao and Takagi.

Keywords

Cite

@article{arxiv.2406.10595,
  title  = {Regularity of linearly presented squarefree monomial ideals},
  author = {Hailong Dao and Thanh Vu},
  journal= {arXiv preprint arXiv:2406.10595},
  year   = {2024}
}
R2 v1 2026-06-28T17:07:10.766Z