Steps in the classification of Cohen-Macaulay modules over singularities of type \(x^t +y^3\)
type: Item
instance of: scholarly article
title: Steps in the classification of Cohen-Macaulay modules over singularities of type \(x^t +y^3\)
zbMATH Open document ID: 0942.13014
DOI: 10.1023/A:1009942810682
author: Viviana Ene
author: Dorin Popescu
published in: Algebras and Representation Theory
publication date: 1999-11-23T00:00:00Z
review text: Let \(K\) be an algebraically closed field of characteristic \(\neq 3\) and \(i,j,t\) positive integers, \(1\leq i<j<t\) and \(i+j\neq t\). It is proved that there exists a finite number of non-isomorphic indecomposable maximal Cohen-Macaulay modules \(N\) over \(Kx,y/ \langle x^t+ y^3\rangle\) such that \(N/yN\) is a direct sum of several modules of type \(Kx/ \langle x^i \rangle\) and \(Kx/ \langle x^j\rangle\). These modules are completely described.
Mathematics Subject Classification ID: 13C14
Mathematics Subject Classification ID: 14H20
Mathematics Subject Classification ID: 13H10
Mathematics Subject Classification ID: 13D10
zbMATH DE Number: 1339297
zbMATH Keywords: infinitesimal deformations of modules
zbMATH Keywords: maximal Cohen-Macaulay modules
zbMATH Keywords: singularities
reviewed by: Gerhard Pfister
MaRDI profile type: Publication
full work available at URL: a:1009942810682
OpenAlex ID: W21147854
description: scientific article; zbMATH DE number 1339297