Tate's theorem on the Galois cohomology of abelian varieties over separable extensions
GPTKB entity
Statements (16)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:author |
gptkb:John_Tate
|
| gptkbp:concerns |
gptkb:Galois_cohomology
abelian varieties separable field extensions |
| gptkbp:field |
gptkb:algebraic_geometry
number theory |
| https://www.w3.org/2000/01/rdf-schema#label |
Tate's theorem on the Galois cohomology of abelian varieties over separable extensions
|
| gptkbp:implies |
the Tate conjecture for abelian varieties over finite fields
|
| gptkbp:publicationYear |
1966
|
| gptkbp:publishedIn |
gptkb:Proceedings_of_the_International_Congress_of_Mathematicians_1966
|
| gptkbp:relatedTo |
gptkb:Weil_conjectures
gptkb:Tate_module |
| gptkbp:state |
the Galois cohomology of an abelian variety over a separable field extension is determined by its cohomology over the base field
|
| gptkbp:bfsParent |
gptkb:John_Torrence_Tate
|
| gptkbp:bfsLayer |
6
|