Multigraded Betti numbers of simplicial forests
Commutative Algebra
2015-09-07 v3
Abstract
We prove that multigraded Betti numbers of a simplicial forest are always either 0 or 1. Moreover a nonzero multidegree appears exactly at one homological degree in the resolution. Our work generalizes work of Bouchat on edge ideals of graph forests.
Cite
@article{arxiv.1310.7484,
title = {Multigraded Betti numbers of simplicial forests},
author = {Nursel Erey and Sara Faridi},
journal= {arXiv preprint arXiv:1310.7484},
year = {2015}
}
Comments
The statement of Lemma 3.2 is corrected