Combinatorial characterizations of generalized Cohen-Macaulay monomial ideals
Commutative Algebra
2013-08-21 v1
Abstract
We give a generalization of Hochster's formula for local cohomologies of square-free monomial ideals to monomial ideals, which are not necessarily square-free. Using this formula, we give combinatorial characterizations of generalized Cohen-Macaulay monomial ideals. We also give other applications of the generalized Hochster's formula.
Cite
@article{arxiv.math/0503111,
title = {Combinatorial characterizations of generalized Cohen-Macaulay monomial ideals},
author = {Yukihide Takayama},
journal= {arXiv preprint arXiv:math/0503111},
year = {2013}
}
Comments
This is a largely enhanced version of the previous manuscript "A generalized Hochster's formula for local cohomologies of monomial ideals"