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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 Dolbeault cohomology ： ウィキペディア英語版 Dolbeault cohomology In mathematics, in particular in algebraic geometry and differential geometry, Dolbeault cohomology (named after Pierre Dolbeault) is an analog of de Rham cohomology for complex manifolds. Let ''M'' be a complex manifold. Then the Dolbeault cohomology groups ''H''''p'',''q''(''M'',C) depend on a pair of integers ''p'' and ''q'' and are realized as a subquotient of the space of complex differential forms of degree (''p'',''q''). ==Construction of the cohomology groups== Let Ω''p'',''q'' be the vector bundle of complex differential forms of degree (''p'',''q''). In the article on complex forms, the Dolbeault operator is defined as a differential operator on smooth sections :$\backslash bar:\backslash Gamma(\backslash Omega^)\backslash rightarrow\backslash Gamma(\backslash Omega^)$ Since :$\backslash bar^2=0$ this operator has some associated cohomology. Specifically, define the cohomology to be the quotient space :$H^(M,\backslash mathbb)=\backslash frac:\backslash Gamma(\backslash Omega^,M)\backslash rightarrow\; \backslash Gamma(\backslash Omega^,M)\backslash right)\})\}.$ 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「Dolbeault cohomology」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.