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arxiv: math/0401306 · v1 · submitted 2004-01-22 · 🧮 math.AC

Integral closure of ideals and annihilators of homology

classification 🧮 math.AC
keywords annihilatorshomologyclosureidealsintegralarticlebasicburch
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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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