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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 Fermat quintic threefold ： ウィキペディア英語版 Fermat quintic threefold In mathematics, a Fermat quintic threefold is a special quintic threefold, in other words a degree 5 dimension 3 hypersurface in 4-dimensional projective space, given by :$V^5+W^5+X^5+Y^5+Z^5=0.\; \backslash ,$ It is a Calabi–Yau manifold. The Hodge diamond of a non-singular quintic 3-fold is ==Rational curves== conjectured that the number of rational curves of a given degree on a generic quintic threefold is finite. The Fermat quintic threefold is not generic in this sense, and showed that its lines are contained in 50 1-dimensional families of the form (''x'' : −''ζx'' : ''ay'' : ''by'' : ''cy'') for ''ζ'' 5 = 1 and ''a''5 + ''b''5 + ''c''5 = 0. There 375 lines in more than 1 family, of the form (''x'' : −''ζx'' : ''y'' : −''ηy'' : 0) for 5th roots of 1 ''ζ'' and ''η''. 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「Fermat quintic threefold」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.