A Briançon-Skoda theorem for isolated singularities
type: Item
instance of: scholarly article
title: A Briançon-Skoda theorem for isolated singularities
zbMATH Open document ID: 0928.13006
author: Eero Hyry
author: Orlando E. Villamayor
published in: Journal of Algebra
publication date: 1999-09-09T00:00:00Z
review text: This paper contains various generalizations of the Briançon-Skoda theorem for pseudo-rational rings, namely results of the form \(\overline{{I^{n+k}}} \subseteq J I^n\), where \(I\) is an ideal, \(n\) an arbitrary integer, \(k\) an invariant of the ring, and \(J\) either the whole ring or the coefficient ideal of \(I\) with respect to some minimal reduction of \(I\). Here, the coefficient ideals are in the sense of \textit{I. M. Aberbach} and \textit{C. Huneke} [Math. Ann. 297, No. 2, 343-369 (1993; Zbl 0788.13001)]. Computable upper bounds on \(k\) are also proved.
reviewed by: Irena Swanson
Mathematics Subject Classification ID: 13B22
Mathematics Subject Classification ID: 14B05
Mathematics Subject Classification ID: 13C40
zbMATH DE Number: 1218678
zbMATH Keywords: pseudo-rational rings
zbMATH Keywords: Briançon-Skoda theorem
zbMATH Keywords: adjoints
zbMATH Keywords: coefficient ideals
MaRDI profile type: Publication
full work available at URL: jabr.1997.7386
OpenAlex ID: W2085866144
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DOI: 10.1006/JABR.1997.7386
description: scientific article; zbMATH DE number 1218678