Free Delivery Over $100
|
|
|||
|
||||
OverviewIn 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. Full Product DetailsAuthor: Igor Burban , Yuriy DrozdPublisher: American Mathematical Society Imprint: American Mathematical Society Weight: 0.200kg ISBN: 9781470425371ISBN 10: 1470425378 Pages: 114 Publication Date: 30 June 2017 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsGeneralities on maximal Cohen-Macaulay modules Category of triples in dimension one Main construction Serre quotients and proof of Main Theorem Singularities obtained by gluing cyclic quotient singularities Maximal Cohen-Macaulay modules over $\mathbb{k}[[ x, y, z]]/(x^2 + y^3 - xyz)$ Representations of decorated bunches of chains-I Maximal Cohen-Macaulay modules over degenerate cusps-I Maximal Cohen-Macaulay modules over degenerate cusps-II Schreyer's question Remarks on rings of discrete and tame CM-representation type Representations of decorated bunches of chains-II References.ReviewsAuthor InformationIgor Burban, Universitat zu Koln, Germany. Yuriy Drozd, National Academy of Sciences, Kyiv, Ukraine. Tab Content 6Author Website:Countries AvailableAll regions |
||||
