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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 Poincaré residue ： ウィキペディア英語版 Poincaré residue In mathematics, the Poincaré residue is a generalization, to several complex variables and complex manifold theory, of the residue at a pole of complex function theory. It is just one of a number of such possible extensions. The theory assumes given a meromorphic complex form ω of degree ''n'' on C''n'' (or ''n''-dimensional complex manifold, but the definition is local). Along a hypersurface ''H'' defined by :''f'' = 0 there is the meromorphic 1-form :''df''/''f''. The Poincaré residue ρ along ''H'' is by definition a holomorphic (''n'' − 1)-form on the hypersurface, for which there is an extension ρ′, locally to C''n'', such that ω is the wedge product of ''df''/''f'' with ρ′. While ρ′ is not necessary unique, as a holomorphic extension of ρ, it is the case that ρ is uniquely defined. ==See also== * Grothendieck residue * Leray residue 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「Poincaré residue」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.