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A generalized Hochster's formula for local cohomologies of monomial ideals

Yukihide Takayama
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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.

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Yukihide Takayama. 2004-11-30. A generalized Hochster's formula for local cohomologies of monomial ideals. https://arxiv.org/abs/math/0411649

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