The minimal cellular resolutions of the edge ideals of forests
Commutative Algebra
2019-02-08 v1 Combinatorics
Abstract
We present an explicit construction of a minimal cellular resolution for the edge ideals of forests, based on discrete Morse theory. In particular, the generators of the free modules are subsets of the generators of the modules in the Lyubeznik resolution. This procedure allows to ease the computation of the graded Betti numbers and the projective dimension.
Keywords
Cite
@article{arxiv.1902.02740,
title = {The minimal cellular resolutions of the edge ideals of forests},
author = {Margherita Barile and Antonio Macchia},
journal= {arXiv preprint arXiv:1902.02740},
year = {2019}
}