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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 Griffiths group ： ウィキペディア英語版 Griffiths group In mathematics, more specifically in algebraic geometry, the Griffiths group of a projective complex manifold ''X'' measures the difference between homological equivalence and algebraic equivalence, which are two important equivalence relations of algebraic cycles. More precisely, it is defined as :$\backslash operatorname^k(X)\; :=\; Z^k(X)\_\backslash mathrm\; /\; Z^k(X)\_\backslash mathrm$ where $Z^k(X)$ denotes the group of algebraic cycles of some fixed codimension ''k'' and the subscripts indicate the groups that are homologically trivial, respectively algebraically equivalent to zero.〔Voisin, C., ''Hodge Theory and Complex Algebraic Geometry II'', Cambridge University Press, 2003. See Chapter 8〕 This group was introduced by Phillip Griffiths who showed that for a general quintic in $\backslash mathbf\; P^4$ (projective 4-space), the group $\backslash operatorname^2(X)$ is not a torsion group. ==References== 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「Griffiths group」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.