Normalization of Ideals and Briancon-Skoda Numbers

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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.
16 pages. to appear in Math. Res. Letters

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Commutative Algebra, Primary 13A30; Secondary 13B22, 13H10, 13H15

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http://salesiana.dossiersoluciones.com/handle/123456789/76013

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0508211
 http://arxiv.org/abs/math/0508211

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arXiv