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arXiv math/0401306math.AC
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理想的整闭包与同调的零化子

Integral closure of ideals and annihilators of homology

Alberto Corso, Craig Huneke, Daniel Katz, Wolmer Vasconcelos

摘要:

这篇文章产生的努力,以了解我们的基本问题:零化子的非零Koszul同调模$H_i$的一个非混合理想$I$包含在整闭包$\bar{I}$的$I$?我们还得到了Burch的一个结果的一些变化,这些变化延续了本文的主题,即它们涉及同调零化子和整闭理想.

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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