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

Ryo Takahashi

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

机译：Gorenstein局部环上的厚子类别，该局部环在穿刺光谱上是局部超曲面

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摘要

Let R be a, Gorenstein local ring which is locally a hypersur-face 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.

机译：令R为Gorenstein局部环，该局部环在穿孔频谱上局部为超曲面。在本文中，我们对有限生成的R模块的有界派生类别的粗子类别进行分类。此外，使用这种分类方法，我们还对有限生成的R模块的粗子类别进行分类，并找出与Cohen-Macaulay R模块的粗子类别的关系。

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来源
《Journal of the Mathematical Society of Japan》 |2013年第2期|357-374|共18页
作者
Ryo Takahashi;
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作者单位

Department of Mathematical Sciences Faculty of Science Shinshu University 3-1-1 Asahi, Matsumoto Nagano 390-8621, Japan,Graduate School of Mathematics Nagoya University Furocho, Chikusaku, Nagoya Aichi 464-8602, Japan;

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收录信息美国《科学引文索引》(SCI);
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Thick subcategories over Gorenstein local rings that are locally hypersurfaces on the punctured spectra

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