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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 Cone of curves ： ウィキペディア英語版 Cone of curves In mathematics, the cone of curves (sometimes the Kleiman-Mori cone) of an algebraic variety $X$ is a combinatorial invariant of much importance to the birational geometry of $X$. ==Definition== Let $X$ be a proper variety. By definition, a (real) ''1-cycle'' on $X$ is a formal linear combination $C=\backslash sum\; a\_iC\_i$ of irreducible, reduced and proper curves $C\_i$, with coefficients $a\_i\; \backslash in\; \backslash mathbb$. ''Numerical equivalence'' of 1-cycles is defined by intersections: two 1-cycles $C$ and $C\text{'}$ are numerically equivalent if $C\; \backslash cdot\; D\; =\; C\text{'}\; \backslash cdot\; D$ for every Cartier divisor $D$ on $X$. Denote the real vector space of 1-cycles modulo numerical equivalence by $N\_1(X)$. We define the ''cone of curves'' of $X$ to be : $NE(X)\; =\; \backslash left\backslash$ where the $C\_i$ are irreducible, reduced, proper curves on $X$, and $()$ their classes in $N\_1(X)$. It is not difficult to see that $NE(X)$ is indeed a convex cone in the sense of convex geometry. 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「Cone of curves」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.