On two examples by Iyama and Yoshino
Commutative Algebra
2014-01-14 v3 Algebraic Geometry
Abstract
In the recent paper "Mutation in triangulated categories and rigid Cohen-Macaulay modules" Iyama and Yoshino consider 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. We obtain some new results on the singularity category of isolated singularities which may be interesting in their own right.
Cite
@article{arxiv.0803.0720,
title = {On two examples by Iyama and Yoshino},
author = {Bernhard Keller and Daniel Murfet and Michel Van den Bergh},
journal= {arXiv preprint arXiv:0803.0720},
year = {2014}
}
Comments
The first name of the first author was misspelled in the arXiv abstract. There are no changes in the paper