Verbitsky's theorem

GPTKB entity

Statements (13)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo irreducible holomorphic symplectic manifolds
gptkbp:concerns gptkb:hyperkähler_manifolds
gptkbp:field gptkb:algebraic_geometry
differential geometry
https://www.w3.org/2000/01/rdf-schema#label Verbitsky's theorem
gptkbp:implies global Torelli theorem for hyperkähler manifolds
gptkbp:namedAfter gptkb:Misha_Verbitsky
gptkbp:publishedIn gptkb:International_Mathematics_Research_Notices
gptkbp:state The cohomology ring of a compact irreducible holomorphic symplectic manifold is generated by its second cohomology group.
gptkbp:yearProved 1996
gptkbp:bfsParent gptkb:Misha_Verbitsky
gptkbp:bfsLayer 7