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Title: | On two examples by Iyama and Yoshino | Authors: | Keller, Bernhard Murfet, Daniel VAN DEN BERGH, Michel |
Issue Date: | 2011 | Publisher: | LONDON MATH SOC | Source: | COMPOSITIO MATHEMATICA, 147(2). p. 591-612 | Abstract: | In a recent paper, Iyama and Yoshino considered two interesting examples of isolated singularities over which it is possible to classify the indecomposable maximal Cohen-Macaulay modules in terms of linear algebra data. In this paper, we present two new approaches to these examples. In the first approach we give a relation with cluster categories. In the second approach we use Orlov's result on the graded singularity category. | Notes: | [Keller, Bernhard] Univ Paris 07, UFR Math, F-75251 Paris 05, France. [Murfet, Daniel] Hausdorff Ctr Math, D-53115 Bonn, Germany. [Van den Bergh, Michel] Univ Hasselt, Dept WNI, B-3590 Diepenbeek, Belgium. keller@math.jussieu.fr; murfet@math.uni-bonn.de; michel.vandbenbergh@uhasselt.be | Keywords: | singularity category; maximal Cohen-Macaulay modules | Document URI: | http://hdl.handle.net/1942/11940 | ISSN: | 0010-437X | e-ISSN: | 1570-5846 | DOI: | 10.1112/S0010437X10004902 | ISI #: | 000289544300007 | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2012 |
Appears in Collections: | Research publications |
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