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Normalization of Ideals and Briancon-Skoda Numbers

Claudia Polini, Bernd Ulrich, Wolmer V. Vasconcelos

math.ACarXiv:math/0508211

Abstract

We establish bounds for the coefficient e1(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 S2 of Serre.

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