English

Integral closure of ideals and annihilators of homology

Commutative Algebra 2007-05-23 v1

Abstract

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

Keywords

Cite

@article{arxiv.math/0401306,
  title  = {Integral closure of ideals and annihilators of homology},
  author = {Alberto Corso and Craig Huneke and Daniel Katz and Wolmer Vasconcelos},
  journal= {arXiv preprint arXiv:math/0401306},
  year   = {2007}
}

Comments

14 pages