Mathematical Research Letters

Volume 12 (2005)

Number 6

Normalization of ideals and Briançon–Skoda numbers

Pages: 827 – 842



Claudia Polini (University of Notre Dame)

Bernd Ulrich (Purdue University)

Wolmer V. Vasconcelos (Rutgers University)


We establish bounds for the coefficient $\overline{e}_1(I)$ 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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