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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 Smooth topology ： ウィキペディア英語版 Smooth topology In algebraic geometry, the smooth topology is a certain Grothendieck topology, which is finer than étale topology. Its main use is to define the cohomology of an algebraic stack with coefficients in, say, the étale sheaf $\backslash mathbb\_l$. To understand the problem that motivates the notion, consider the classifying stack $B\backslash mathbb\_m$ over $\backslash operatorname\; \backslash mathbf\_q$. Then $B\backslash mathbb\_m\; =\; \backslash operatorname\; \backslash mathbf\_q$ in the étale topology; i.e., just a point. However, we expect the "correct" cohomology ring of $B\backslash mathbb\_m$ to be more like that of $\backslash mathbb\; P^\backslash infty$ as the ring should classify line bundles. Thus, the cohomology of $B\backslash mathbb\_m$ should be defined using smooth topology for formulae like Behrend's fixed point formula to hold. == Notes == 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「Smooth topology」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.