Normalization of Ideals and Briancon-Skoda Numbers

Details Normalization of Ideals and Briancon-Skoda Numbers Normalization of Ideals and Briancon-Skoda Numbers

2005-08-11

arxiv.org/abs/math/0508211v1

Mathematics

Commutative Algebra

16 pages. to appear in Math. Res. Letters

Scientific paper

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.

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