Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
gptkb:cohomology_theory |
| gptkbp:appliesTo |
complex manifolds
|
| gptkbp:category |
gptkb:mathematics
|
| gptkbp:definedIn |
kernel and image of the Dolbeault operator
|
| gptkbp:describes |
holomorphic vector bundles
|
| gptkbp:field |
gptkb:algebraic_geometry
differential geometry complex geometry |
| gptkbp:generalizes |
de Rham cohomology on complex manifolds
|
| https://www.w3.org/2000/01/rdf-schema#label |
Dolbeault cohomology
|
| gptkbp:introducedIn |
1950s
|
| gptkbp:namedAfter |
gptkb:Pierre_Dolbeault
|
| gptkbp:notation |
H^{p,q}(X)
|
| gptkbp:operator |
gptkb:Dolbeault_operator
|
| gptkbp:relatedTo |
gptkb:Hodge_theory
gptkb:de_Rham_cohomology sheaf cohomology |
| gptkbp:usedFor |
classifying complex manifolds
computing Hodge numbers studying complex structures |
| gptkbp:bfsParent |
gptkb:Hodge_theory
|
| gptkbp:bfsLayer |
5
|