Keller, Bernhard; Murfet, Daniel; Van den Bergh, Michel On two examples by Iyama and Yoshino. (English) Zbl 1264.13016 Compos. Math. 147, No. 2, 591-612 (2011). Summary: O. Iyama and Y. Yoshino [Invent. Math. 172, No. 1, 117–168 (2008; Zbl 1140.18007)] 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. Cited in 1 ReviewCited in 26 Documents MSC: 13C14 Cohen-Macaulay modules 14F05 Sheaves, derived categories of sheaves, etc. (MSC2010) 18E30 Derived categories, triangulated categories (MSC2010) 16G20 Representations of quivers and partially ordered sets PDF BibTeX XML Cite \textit{B. Keller} et al., Compos. Math. 147, No. 2, 591--612 (2011; Zbl 1264.13016) Full Text: DOI arXiv