Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
Kähler manifold
|
| gptkbp:characterizedBy |
holomorphic separability
embedding into complex Euclidean space holomorphic convexity existence of holomorphic functions separating points |
| gptkbp:example |
affine complex algebraic varieties
compact complex manifolds open subsets of complex Euclidean space |
| gptkbp:generalizes |
domains of holomorphy
|
| https://www.w3.org/2000/01/rdf-schema#label |
Stein manifolds
|
| gptkbp:introducedIn |
20th century
|
| gptkbp:namedAfter |
gptkb:Karl_Stein
|
| gptkbp:property |
vanishing higher cohomology for coherent analytic sheaves
exhaustion by strictly plurisubharmonic functions holomorphic functions provide local coordinates holomorphic functions separate points every coherent analytic sheaf is generated by global sections |
| gptkbp:relatedTo |
gptkb:Cartan's_theorems_A_and_B
Oka's theorem |
| gptkbp:studiedIn |
complex analysis
complex geometry |
| gptkbp:bfsParent |
gptkb:Oka–Grauert_principle
|
| gptkbp:bfsLayer |
6
|