A generalized Hochster's formula for local cohomologies of monomial ideals
Commutative Algebra
2007-05-23 v1
Abstract
The Hilbert series of local cohomologies for monomial ideals, which are not necessarily square-free, is established. As applications, we give a sharp lower bound of the non-vanishing degree of local cohomologies and also a sharp lower bound of the positive integer k of k-Buchsbaumness for generalized Cohen-Macaulay monomial ideals.
Keywords
Cite
@article{arxiv.math/0411649,
title = {A generalized Hochster's formula for local cohomologies of monomial ideals},
author = {Yukihide Takayama},
journal= {arXiv preprint arXiv:math/0411649},
year = {2007}
}