Statements (20)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematics
|
| gptkbp:appliesTo |
gptkb:Stein_spaces
coherent analytic sheaves |
| gptkbp:author |
gptkb:Henri_Cartan
|
| gptkbp:field |
complex geometry
sheaf theory complex analytic geometry |
| https://www.w3.org/2000/01/rdf-schema#label |
Cartan's theorems A and B
|
| gptkbp:influenced |
gptkb:algebraic_geometry
complex analysis sheaf cohomology |
| gptkbp:namedAfter |
gptkb:Henri_Cartan
|
| gptkbp:publicationYear |
1953
|
| gptkbp:publishedIn |
gptkb:Annales_Scientifiques_de_l'École_Normale_Supérieure
|
| gptkbp:relatedTo |
gptkb:Oka's_coherence_theorem
gptkb:Serre's_GAGA_theorem |
| gptkbp:theoremAStatement |
Every coherent analytic sheaf on a Stein space is generated by its global sections.
|
| gptkbp:theoremBStatement |
The higher cohomology groups of a coherent analytic sheaf on a Stein space vanish.
|
| gptkbp:bfsParent |
gptkb:Henri_Paul_Cartan
|
| gptkbp:bfsLayer |
6
|