Local cohomology of binomial edge ideals and their generic ideals
Commutative Algebra
2019-10-01 v2
Abstract
We provide a Hochster type formula for the local cohomology modules of binomial edge ideals. As a consequence we obtain a simple criterion for the Cohen-Macaulayness of these ideals and we describe their Castelnuovo-Mumford regularity and their Hilbert series. We also prove a conjecture of Conca, De Negri and Gorla relating the graded components of the local cohomology modules of binomial edge ideals and their generic initial ideals.
Keywords
Cite
@article{arxiv.1901.08645,
title = {Local cohomology of binomial edge ideals and their generic ideals},
author = {Josep Àlvarez Montaner},
journal= {arXiv preprint arXiv:1901.08645},
year = {2019}
}
Comments
19 pages. Final version, to appear in Collectanea Math