On Virtually Cohen-Macaulay Simplicial Complexes
Commutative Algebra
2020-07-21 v1 Combinatorics
Abstract
We examine virtual resolutions of Stanley-Reisner ideals for a product of projective spaces. In particular, we provide sufficient conditions for a simplicial complex to be virtually Cohen-Macaulay (to have a virtual resolution with length equal to its codimension). We also show that all balanced simplicial complexes are virtually Cohen-Macaulay.
Keywords
Cite
@article{arxiv.2007.09443,
title = {On Virtually Cohen-Macaulay Simplicial Complexes},
author = {Nathan Kenshur and Feiyang Lin and Sean McNally and Zixuan Xu and Teresa Yu},
journal= {arXiv preprint arXiv:2007.09443},
year = {2020}
}
Comments
10 pages, 1 figure