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arXiv · 1109.3120

Thick subcategories over Gorenstein local rings that are locally hypersurfaces on the punctured spectra

Ryo Takahashi
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Abstract

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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Ryo Takahashi. 2011-09-14. Thick subcategories over Gorenstein local rings that are locally hypersurfaces on the punctured spectra. https://arxiv.org/abs/1109.3120

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