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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 Appell–Humbert theorem ： ウィキペディア英語版 Appell–Humbert theorem In mathematics, the Appell–Humbert theorem describes the line bundles on a complex torus or complex abelian variety. It was proved for 2-dimensional tori by and , and in general by ==Statement== Suppose that ''T'' is a complex torus given by ''V''/''U'' where ''U'' is a lattice in a complex vector space ''V''. If ''H'' is a Hermitian form on ''V'' whose imaginary part ''E'' is integral on ''U''×''U'', and α is a map from ''U'' to the unit circle such that :$\backslash alpha(u+v)\; =\; e^\backslash alpha(u)\backslash alpha(v)\backslash$ then :$\backslash alpha(u)e^\backslash$ is a 1-cocycle on ''U'' defining a line bundle on ''T''. The Appell–Humbert theorem says that every line bundle on ''T'' can be constructed like this for a unique choice of ''H'' and α satisfying the conditions above. 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「Appell–Humbert theorem」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.