Mathematics – Commutative Algebra
Scientific paper
2011-09-14
Mathematics
Commutative Algebra
14 pages, to appear in Journal of the Mathematical Society of Japan
Scientific paper
Let R be a Gorenstein local ring which is locally a hypersurface on the punctured spectrum. In this paper, we classify thick subcategories of the bounded derived category of finitely generated R-modules. Moreover, using this classification, we also classify thick subcategories of finitely generated R-modules, and find out the relationships with thick subcategories of Cohen-Macaulay R-modules.
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