Linkage and reduction numbers
type: Item
instance of: scholarly article
title: Linkage and reduction numbers
zbMATH Open document ID: 0919.13013
author: Claudia Polini
author: Bernd Ulrich
published in: Mathematische Annalen
publication date: 1998-07-28T00:00:00Z
review text: If a Cohen-Macaulay ideal \(I\) in a local Gorenstein ring with infinite residue field has the property that every direct link of \(I\) is contained in \(I\), then every ideal in the linkage class of \(I\) is contained in \(I\). Moreover, the authors provide conditions for when every ideal in the linkage class of a symbolic power \(H^{(t)}\) is again contained in \(H^{(t)}\).
Mathematics Subject Classification ID: 13C40
Mathematics Subject Classification ID: 13H10
Mathematics Subject Classification ID: 14M06
Mathematics Subject Classification ID: 13C14
zbMATH DE Number: 1179889
zbMATH Keywords: Cohen-Macaulay ideal
zbMATH Keywords: local Gorenstein ring
zbMATH Keywords: linkage class
reviewed by: Witold Więsław
MaRDI profile type: Publication
full work available at URL: s002080050163
OpenAlex ID: W2035133631
DOI: 10.1007/S002080050163
description: scientific article; zbMATH DE number 1179889