An extension of the Hartshorne theorem on the characterization of cofinite complexes
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- 川崎, 謙一郎
- 奈良教育大学
書誌事項
- タイトル別名
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- An extension of the Hartshorne theorem on the characterization of cofinite complexes (Researches on theory of isometries and preserver problems from a various point of view)
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説明
This report is the announcement of the result on the characterization of cofinite complexes (the first one is in the talk at the RIMS conferencet). Let A be a homomorphic image of a Gorenstein ring of finite Krull dimension, J an ideal of A, and N^{cdot} a bounded-below complex of A-modules. Suppose that A is complete with respect to a J-adic topology. In this report, we introduce that N^{cdot} is a J-cofinite complex if and only if the support of H^{i}(N^{cdot}) is in V(J) for all i, and Ext^{j}(A/J, N^{cdot}) is of finite type for all j.
収録刊行物
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- 数理解析研究所講究録
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数理解析研究所講究録 2118 33-37, 2019-07
京都大学数理解析研究所
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詳細情報 詳細情報について
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- CRID
- 1050848249741009536
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- NII論文ID
- 120006861716
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- NII書誌ID
- AN00061013
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- ISSN
- 18802818
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- HANDLE
- 2433/252126
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- NDL書誌ID
- 029909377
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- 本文言語コード
- en
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- 資料種別
- departmental bulletin paper
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- データソース種別
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- NDLサーチ
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