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