翻訳と辞書 Words near each other ・ Birkhead Mountains Wilderness ・ Birkheim ・ Birkhill House, Stirling ・ Birkhill railway station ・ Birkhill, Angus ・ Birkhoff ・ Birkhoff (crater) ・ Birkhoff factorization ・ Birkhoff interpolation ・ Birkhoff polytope ・ Birkhoff's axioms ・ Birkhoff's representation theorem ・ Birkhoff's theorem ・ Birkhoff's theorem (electromagnetism) ・ Birkhoff's theorem (relativity) ・ Birkhoff–Grothendieck theorem ・ Birkhoff–Kellogg invariant-direction theorem ・ Birkholm ・ Birkholm (disambiguation) ・ Birkholz ・ Birkhouse Moor ・ Birkhäuser ・ Birkigsbach ・ Birkigt ・ Birkigt (Freital) ・ Birkilane Department ・ Birkin ・ Birkin (disambiguation) ・ Birkin (surname) ・ Birkin bag 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 Birkhoff–Grothendieck theorem ： ウィキペディア英語版 Birkhoff–Grothendieck theorem In mathematics, the Birkhoff–Grothendieck theorem classifies holomorphic vector bundles over the complex projective line. In particular every holomorphic vector bundle over $\backslash mathbb^1$ is a direct sum of holomorphic line bundles. The theorem was proved by , and is more or less equivalent to Birkhoff factorization introduced by . ==Statement== More precisely, the statement of the theorem is as the following. Every holomorphic vector bundle $\backslash mathcal$ on $\backslash mathbb^1$ is holomorphically isomorphic to a direct sum of line bundles: : $\backslash mathcal\backslash cong\backslash mathcal(a\_1)\backslash oplus\; \backslash cdots\; \backslash oplus\; \backslash mathcal(a\_n).$ The notation implies each summand is a Serre twist some number of times of the trivial bundle. The representation is unique up to permuting factors. 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「Birkhoff–Grothendieck 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.