Simplicial resolutions for the second power of square-free monomial ideals
Commutative Algebra
2021-03-12 v2
Abstract
Given a square-free monomial ideal , we define a simplicial complex labeled by the generators of which supports a free resolution of . As a consequence, we obtain (sharp) upper bounds on the Betti numbers of the second power of any square-free monomial ideal.
Cite
@article{arxiv.2103.04074,
title = {Simplicial resolutions for the second power of square-free monomial ideals},
author = {Susan M. Cooper and Sabine El Khoury and Sara Faridi and Sarah Mayes-Tang and Susan Morey and Liana M. Şega and Sandra Spiroff},
journal= {arXiv preprint arXiv:2103.04074},
year = {2021}
}