Normalization of Ideals and Briancon-Skoda Numbers

Claudia Polini; Bernd Ulrich; Wolmer V. Vasconcelos

Normalization of Ideals and Briancon-Skoda Numbers

Commutative Algebra 2007-05-23 v1

Authors: Claudia Polini , Bernd Ulrich , Wolmer V. Vasconcelos

Abstract

We establish bounds for the coefficient $\bar{e}_1(I)$ of the Hilbert function of the integral closure filtration of equimultiple ideals. These values are shown to help control all algorithmic processes of normalization that make use of extensions satisfying the condition $S_2$ of Serre.

Keywords

hilbert functions

Cite

@article{arxiv.math/0508211,
  title  = {Normalization of Ideals and Briancon-Skoda Numbers},
  author = {Claudia Polini and Bernd Ulrich and Wolmer V. Vasconcelos},
  journal= {arXiv preprint arXiv:math/0508211},
  year   = {2007}
}

Comments

16 pages. to appear in Math. Res. Letters

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