Articles liés à Maximal Cohen-macaulay Modules over Non-isolated Surface...

Maximal Cohen-macaulay Modules over Non-isolated Surface Singularities and Matrix Problems - Couverture souple

Burban, Igor; Drozd, Yuriy

 
9781470425371: Maximal Cohen-macaulay Modules over Non-isolated Surface Singularities and Matrix Problems
Couverture souple
ISBN 10 : 1470425378 ISBN 13 : 9781470425371
Editeur : American Mathematical Society, 2017

Synopsis

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 singularities leads to a new class of problems of linear algebra, which the authors call representations of decorated bunches of chains. They prove that these matrix problems have tame representation type and describe the underlying canonical forms.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l'auteur

Igor Burban, Universitat zu Koln, Germany.

Yuriy Drozd, National Academy of Sciences, Kyiv, Ukraine.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
American Mathematical Society
Date d'édition
2017
Langue
anglais
ISBN 10 
1470425378
ISBN 13 
9781470425371
Reliure
Broché
Nombre de pages
114
Coordonnées du fabricant
non disponible
Personne responsable
non disponible