Locally complete intersection Stanley-Reisner ideals
Commutative Algebra
2009-01-27 v1 Combinatorics
Abstract
In this paper, we prove that the Stanley--Reisner ideal of any connected simplicial complex of dimension that is locally complete intersection is a complete intersection ideal. As an application, we show that the Stanley--Reisner ideal whose powers are Buchsbaum is a complete intersection ideal.
Cite
@article{arxiv.0901.3899,
title = {Locally complete intersection Stanley-Reisner ideals},
author = {Naoki Terai and Ken-ichi Yoshida},
journal= {arXiv preprint arXiv:0901.3899},
year = {2009}
}
Comments
15 pages