Maximal Cohen-Macaulay modules over non-isolated surface singularities and matrix problems

Maximal Cohen-Macaulay modules over non-isolated surface singularities and matrix problems / Igor Burban, Yuriy Drozd.

In this article the authors develop a new method to deal with maximal Cohen-Macaulay modules over non-isolated surface singularities. In particular, they give a negative answer on an old question of Schreyer about surface singularities with only countably many indecomposable maximal Cohen-Macaulay m...

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Bibliographic Details
Main Authors: Burban, Igor, 1977- (Author), Drozd, Yurij A. (Author)
Format: eBook
Language:English
Published: Providence, Rhode Island : American Mathematical Society, 2017.
Series:Memoirs of the American Mathematical Society ; no. 1178.
Subjects:
Cohen-Macaulay modules.
Modules (Algebra)
Singularities (Mathematics)
Matrices.
Cohen-Macaulay modules
Matrices
Online Access:Click for online access
Description
Summary:In this article the authors develop a new method to deal with maximal Cohen-Macaulay modules over non-isolated surface singularities. In particular, they give a negative answer on an old question of Schreyer about surface singularities with only countably many indecomposable maximal Cohen-Macaulay modules. Next, the authors prove that the degenerate cusp singularities have tame Cohen-Macaulay representation type. The authors' approach is illustrated on the case of \mathbb{k}[[x, y, z]]/(xyz) as well as several other rings. This study of maximal Cohen-Macaulay modules over non-isolated singulari.
Item Description:"Volume 248, number 1178 (fourth of 5 numbers), July 2017."
Physical Description:1 online resource (xiv, 114 pages) : illustrations
Bibliography:Includes bibliographical references (pages 111-114).
ISBN:9781470440589
147044058X
ISSN:0065-9266 ;
Source of Description, Etc. Note:Print version record.

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