Classifying thick subcategories of the stable category of Cohen-Macaulay modules
Classifying thick subcategories of the stable category of Cohen-Macaulay modules
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DOI：
10.1016/j.aim.2010.04.009
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发表时间：
2009-08
期刊：
影响因子：
--
通讯作者：
Ryo Takahashi
中科院分区：
文献类型：
--
作者：
Ryo Takahashi
Various classification theorems of thick subcategories of a triangulated category have been obtained in many areas of mathematics. In this paper, as a higher-dimensional version of the classification theorem of thick subcategories of the stable category of finitely generated representations of a finite p-group due to Benson, Carlson and Rickard, we consider classifying thick subcategories of the stable category of Cohen–Macaulay modules over a Gorenstein local ring. The main result of this paper yields a complete classification of the thick subcategories of the stable category of Cohen–Macaulay modules over a local hypersurface in terms of specialization-closed subsets of the prime ideal spectrum of the ring which are contained in its singular locus.
