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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 derived scheme ： ウィキペディア英語版 derived scheme In algebraic geometry, a derived scheme is a pair $(X,\; \backslash mathcal)$ consisting of a topological space ''X'' and a sheaf $\backslash mathcal$ of commutative ring spectra 〔also often called $E\_\backslash infty$-ring spectra〕 on ''X'' such that (1) the pair $(X,\; \backslash pi\_0\; \backslash mathcal)$ is a scheme and (2) $\backslash pi\_k\; \backslash mathcal$ is a quasi-coherent $\backslash pi\_0\; \backslash mathcal$-module. The notion gives a homotopy-theoretic generalization of a scheme. ==Connection with differential graded rings== Just as affine algebraic geometry is equivalent (in categorical sense) to the theory of commutative rings (commonly called commutative algebra), affine derived algebraic geometry is (roughly in homotopical sense) equivalent to the theory of commutative differential graded rings. 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「derived scheme」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.