Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
algebraic varieties
complex manifolds |
| gptkbp:concerns |
cohomology
line bundles projective varieties |
| gptkbp:field |
gptkb:algebraic_geometry
|
| gptkbp:generalizes |
gptkb:Kawamata–Viehweg_vanishing_theorem
|
| https://www.w3.org/2000/01/rdf-schema#label |
Kodaira vanishing theorem
|
| gptkbp:namedAfter |
gptkb:Kunihiko_Kodaira
|
| gptkbp:publicationYear |
1950s
|
| gptkbp:publishedIn |
gptkb:Annals_of_Mathematics
|
| gptkbp:relatedTo |
gptkb:Hodge_theory
gptkb:Serre_duality |
| gptkbp:state |
the higher cohomology groups of a positive line bundle on a smooth projective variety vanish
|
| gptkbp:bfsParent |
gptkb:Kunihiko_Kodaira
gptkb:Mumford_vanishing_theorem |
| gptkbp:bfsLayer |
6
|