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

• Takahashi Ryo

  Department of Mathematical Sciences, Faculty of Science, Shinshu University

抄録

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.

収録刊行物

• Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ

  Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ 65 (2), 357-374, 2013

  一般社団法人 日本数学会

キーワード

• thick subcategory
• specialization-closed subset
• derived category
• Cohen-Macaulay module
• hypersurface

詳細情報

• CRID: 1390001205116126720
• NII論文ID: 10031177284
• NII書誌ID: AA0070177X
• DOI: 10.2969/jmsj/06520357
• ISSN: 18811167
• ISSN: 18812333
• ISSN: 00255645
• NDL書誌ID: 024428167
• Web Site: http://id.ndl.go.jp/bib/024428167
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I024428167
• 本文言語コード: en
• データソース種別:
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