Birkhoff–Grothendieck theorem
GPTKB entity
Statements (14)
Predicate | Object |
---|---|
gptkbp:instanceOf |
gptkb:mathematical_concept
|
gptkbp:appliesTo |
complex projective line
holomorphic vector bundles |
gptkbp:field |
gptkb:algebraic_geometry
gptkb:vector_bundles |
https://www.w3.org/2000/01/rdf-schema#label |
Birkhoff–Grothendieck theorem
|
gptkbp:implies |
classification of vector bundles over the Riemann sphere
|
gptkbp:namedAfter |
gptkb:Alexander_Grothendieck
gptkb:Garrett_Birkhoff |
gptkbp:publishedIn |
gptkb:Annals_of_Mathematics
|
gptkbp:state |
Every holomorphic vector bundle over the complex projective line splits as a direct sum of line bundles
|
gptkbp:yearProved |
1957
|
gptkbp:bfsParent |
gptkb:George_David_Birkhoff
|
gptkbp:bfsLayer |
5
|