Statements (13)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
fields
coherent sheaf complete non-singular variety |
| gptkbp:field |
gptkb:algebraic_geometry
|
| https://www.w3.org/2000/01/rdf-schema#label |
Tate's vanishing theorem
|
| gptkbp:implies |
cohomology vanishing in high degrees
|
| gptkbp:namedAfter |
gptkb:John_Tate
|
| gptkbp:publishedIn |
1957
|
| gptkbp:relatedTo |
gptkb:Serre's_vanishing_theorem
|
| gptkbp:sentence |
For a coherent sheaf F on a complete non-singular variety X over a field, H^i(X, F) = 0 for i > dim X.
|
| gptkbp:bfsParent |
gptkb:John_Torrence_Tate
|
| gptkbp:bfsLayer |
6
|