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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 Castelnuovo–de Franchis theorem ： ウィキペディア英語版 Castelnuovo–de Franchis theorem In mathematics, the Castelnuovo–de Franchis theorem is a classical result on complex algebraic surfaces. Let ''X'' be such a surface, projective and non-singular, and let :ω1 and ω2 be two differentials of the first kind on ''X'' which are linearly independent but with wedge product 0. Then this data can be represented as a pullback of an algebraic curve: there is a non-singular algebraic curve ''C'', a morphism :φ: ''X'' → ''C'', and differentials of the first kind ω′1 and ω′2 on ''C'' such that :φ *(''ω′''1) = ''ω''1 and φ *(''ω′''2) = ''ω''2. This result is due to Guido Castelnuovo and Michele de Franchis (1875–1946). The converse, that two such pullbacks would have wedge 0, is immediate. ==See also== *de Franchis theorem 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「Castelnuovo–de Franchis 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.