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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 secant variety ： ウィキペディア英語版 secant variety In algebraic geometry, the Zariski closure of the union of the secant lines to a projective variety $X\backslash subset\backslash mathbb^n$ is the first secant variety to $X$. It is usually denoted $\backslash Sigma\_1$. The $k^$ secant variety is the Zariski closure of the union of the linear spaces spanned by collections of k+1 points on $X$. It is usually denoted $\backslash Sigma\_k$. Unless $\backslash Sigma\_k=\backslash mathbb^n$, it is always singular along $\backslash Sigma\_$, but may have other singular points. If $X$ has dimension d, the dimension of $\backslash Sigma\_k$ is at most kd+d+k. ==References== * Joe Harris, ''Algebraic Geometry, A First Course'', (1992) Springer-Verlag, New York. ISBN 0-387-97716-3 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「secant variety」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.