Almost Buchsbaumness of some rings arising from complexes with isolated singularities
Commutative Algebra
2017-03-21 v1 Combinatorics
Abstract
We study properties of the Stanley-Reisner rings of simplicial complexes with isolated singularities modulo two generic linear forms. Miller, Novik, and Swartz proved that if a complex has homologically isolated singularities, then its Stanley-Reisner ring modulo one generic linear form is Buchsbaum. Here we examine the case of non-homologically isolated singularities, providing many examples in which the Stanley-Reisner ring modulo two generic linear forms is a quasi-Buchsbaum but not Buchsbaum ring.
Cite
@article{arxiv.1703.06460,
title = {Almost Buchsbaumness of some rings arising from complexes with isolated singularities},
author = {Connor Sawaske},
journal= {arXiv preprint arXiv:1703.06460},
year = {2017}
}