Arithmetical ranks of Stanley-Reisner ideals of simplicial complexes with a cone
Commutative Algebra
2011-02-19 v1
Abstract
When a cone is added to a simplicial complex over one of its faces, we investigate the relation between the arithmetical ranks of the Stanley-Reisner ideals of the original simplicial complex and the new simplicial complex . In particular, we show that the arithmetical rank of the Stanley-Reisner ideal of equals the projective dimension of the Stanley-Reisner ring of if the corresponding equality holds for .
Cite
@article{arxiv.0809.2194,
title = {Arithmetical ranks of Stanley-Reisner ideals of simplicial complexes with a cone},
author = {Margherita Barile and Naoki Terai},
journal= {arXiv preprint arXiv:0809.2194},
year = {2011}
}