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Combinatorial characterizations of generalized Cohen-Macaulay monomial ideals

Yukihide Takayama
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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.

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Yukihide Takayama. 2005-03-06. Combinatorial characterizations of generalized Cohen-Macaulay monomial ideals. https://arxiv.org/abs/math/0503111

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