Mathematical Research Letters

Volume 12, Issue 6, November 2005 pp. 827-842.

Normalization of ideals and Briançon--Skoda numbers

Authors: Claudia Polini (1), Bernd Ulrich (2), and Wolmer V. Vasconcelos (3)
Author institution: University of Notre Dame (1), and Purdue University (2), and Rutgers University (3)

Summary: 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.

Contents Full-Text PDF