Integral closure of ideals and annihilators of homology

Details Integral closure of ideals and annihilators of homology Integral closure of ideals and annihilators of homology

2004-01-22

arxiv.org/abs/math/0401306v1

Mathematics

Commutative Algebra

14 pages

Scientific paper

This article outgrew from an effort to understand our basic question: Are the
annihilators of the non-zero Koszul homology modules $H_i$ of an unmixed ideal
$I$ contained in the integral closure $\bar{I}$ 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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