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 is a direct sum of holomorphic line bundles. The theorem was proved by Alexander Grothendieck , and is more or less equivalent to Birkhoff factorization introduced by George David Birkhoff .
Wikipage redirect
Algebraic geometry of projective spacesBirkhoff-Grothendieck theoremBirkhoff factorizationGeorge David BirkhoffGrothendieck splitting principleHolomorphic vector bundleInvertible sheafJumping lineList of theoremsList of things named after Alexander GrothendieckSplitting principleVector bundles on algebraic curves
Link from a Wikipage to another Wikipage
primaryTopic
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 is a direct sum of holomorphic line bundles. The theorem was proved by Alexander Grothendieck , and is more or less equivalent to Birkhoff factorization introduced by George David Birkhoff .
has abstract
In mathematics, the Birkhoff–G ...... ced by George David Birkhoff .
@en
Теорема Гротендика о расщеплен ...... ломорфных 1-мерных расслоений.
@ru
Теорема Гротендіка про розщепл ...... оморфних 1-мірних розшарувань.
@uk
在代数几何学中,伯克霍夫-格罗滕迪克定理(英文:Birkho ...... 纯向量丛。具体而言,所有 上的全纯向量丛都是全纯线丛的直和。
@zh
Wikipage page ID
14,675,761
page length (characters) of wiki page
Wikipage revision ID
981,377,560
Link from a Wikipage to another Wikipage
authorlink
Alexander Grothendieck
@en
George David Birkhoff
@en
first
Alexander
@en
George David
@en
last
Birkhoff
@en
Grothendieck
@en
loc
Theorem 2.1
@en
wikiPageUsesTemplate
subject
comment
In mathematics, the Birkhoff–G ...... ced by George David Birkhoff .
@en
Теорема Гротендика о расщеплен ...... ломорфных 1-мерных расслоений.
@ru
Теорема Гротендіка про розщепл ...... оморфних 1-мірних розшарувань.
@uk
在代数几何学中,伯克霍夫-格罗滕迪克定理(英文:Birkho ...... 纯向量丛。具体而言,所有 上的全纯向量丛都是全纯线丛的直和。
@zh
label
Birkhoff–Grothendieck theorem
@en
Теорема Гротендика о расщеплении
@ru
Теорема Гротендіка про розщеплення
@uk
伯克霍夫-格罗滕迪克定理
@zh