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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Cohomological descent ： ウィキペディア英語版 Cohomological descent In algebraic geometry, a cohomological descent is, roughly, a "derived" version of a fully faithful descent in the classical descent theory. This point is made precise by the below: the following are equivalent: in an appropriate setting, given a map ''a'' from a simplicial space ''X'' to a space ''S'', *$a^$ *: D^+(S) \to D^+(X) is fully faithful. *The natural transformation $\backslash operatorname\_\; \backslash to\; Ra\_$ * \circ a^ * is an isomorphism. The map ''a'' is then said to be a morphism of cohomological descent. The treatment in SGA uses a lot of topos theory. Conrad's notes gives a more down-to-earth exposition. == See also == *hypercovering, of which a cohomological descent is a generalization 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Cohomological descent」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.