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Integral closure of ideals and annihilators of homology

Alberto Corso, Craig Huneke, Daniel Katz, Wolmer Vasconcelos

math.ACarXiv:math/0401306

Abstract

This article outgrew from an effort to understand our basic question: Are the annihilators of the non-zero Koszul homology modules Hi of an unmixed ideal I contained in the integral closure I of I? We also obtain some variations on a result of Burch, which continue the theme of the paper in that they deal with annihilators of homology and integrally closed ideals.

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