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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 Segre embedding ： ウィキペディア英語版 Segre embedding In mathematics, the Segre embedding is used in projective geometry to consider the cartesian product (of sets) of two projective spaces as a projective variety. It is named after Corrado Segre. ==Definition== The Segre map may be defined as the map :$\backslash sigma:\; P^n\; \backslash times\; P^m\; \backslash to\; P^\backslash$ taking a pair of points $((),())\; \backslash in\; P^n\; \backslash times\; P^m$ to their product :$\backslash sigma:((),\; ())\; \backslash mapsto$ (X_0Y_1: \cdots :X_iY_j: \cdots :X_nY_m )\ (the ''XiYj'' are taken in lexicographical order). Here, $P^n$ and $P^m$ are projective vector spaces over some arbitrary field, and the notation :$()\backslash$ is that of homogeneous coordinates on the space. The image of the map is a variety, called a Segre variety. It is sometimes written as $\backslash Sigma\_$. 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「Segre embedding」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.