翻訳と辞書 Words near each other ・ Segovia Viaduct ・ Segovia, Antioquia ・ Segowlie-Raxaul Railway ・ SEGPHOS ・ Segrate ・ Segrate railway station ・ Segrave ・ Segrave Trophy ・ Segraves ・ Segraves v. California ・ Segre ・ Segre (river) ・ Segre (surname) ・ Segre class ・ Segre classification ・ Segre cubic ・ Segre embedding ・ Segre Olympic Park ・ Segre surface ・ Segredo ・ SegReg ・ Segreganset River ・ Segregara ・ Segregate (taxonomy) ・ Segregated account ・ Segregated fund ・ Segregated portfolio company ・ Segregated prom ・ Segregating site ・ Segregation Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Segre cubic ： ウィキペディア英語版 Segre cubic In algebraic geometry, the Segre cubic is a cubic threefold embedded in 4 (or sometimes 5) dimensional projective space, studied by . The Segre cubic is the set of points (''x''0:''x''1:''x''2:''x''3:''x''4:''x''5) of ''P''5 satisfying the equations :$\backslash displaystyle\; x\_0+x\_1+x\_2+x\_3+x\_4+x\_5=\; 0$ :$\backslash displaystyle\; x\_0^3+x\_1^3+x\_2^3+x\_3^3+x\_4^3+x\_5^3\; =\; 0.$ Its intersection with any hyperplane ''x''''i'' = 0 is the Clebsch cubic surface. Its intersection with any hyperplane ''x''''i'' = ''x''''j'' is Cayley's nodal cubic surface. Its dual is the Igusa quartic 3-fold in P4. Its Hessian is the Barth–Nieto quintic. A cubic hypersurface in ''P''4 has at most 10 nodes, and up to isomorphism the Segre cubic is the unique one with 10 nodes. Its nodes are the points conjugate to (1:1:1:−1:−1:−1) under permutations of coordinates. ==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「Segre cubic」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.