Equality of ordinary and symbolic powers of Stanley-Reisner ideals
Commutative Algebra
2013-08-19 v1
Abstract
This paper studies properties of simplicial complexes for which the m-th symbolic power of the Stanley-Reisner ideal equals to the m-th ordinary power for a given m > 1. The main results are combinatorial characterizations of such complexes in the two-dimensional case. It turns out that there exist only a finite number of complexes with this property and that these complexes can be described completely. As a consequence we are able to determine all complexes for which the m-th ordinary power of the Stanley-Reisner ideal is Cohen-Macaulay for a given m > 1.
Cite
@article{arxiv.1009.0828,
title = {Equality of ordinary and symbolic powers of Stanley-Reisner ideals},
author = {Ngo Viet Trung and Tran Manh Tuan},
journal= {arXiv preprint arXiv:1009.0828},
year = {2013}
}
Comments
19 pages