Tate's theorem on the Galois cohomology of abelian varieties over infinite extensions
GPTKB entity
Statements (19)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:author |
gptkb:John_Tate
|
| gptkbp:concerns |
gptkb:Galois_cohomology
abelian varieties infinite Galois extensions |
| gptkbp:field |
gptkb:algebraic_geometry
number theory |
| gptkbp:influenced |
arithmetic geometry
study of Selmer groups |
| gptkbp:namedAfter |
gptkb:John_Tate
|
| gptkbp:publicationYear |
1966
|
| gptkbp:publishedIn |
gptkb:Annals_of_Mathematics
|
| gptkbp:relatedTo |
gptkb:Tate_module
gptkb:Mordell-Weil_theorem |
| gptkbp:result |
vanishing of certain Galois cohomology groups
finiteness of Galois cohomology groups under certain conditions |
| gptkbp:bfsParent |
gptkb:John_Torrence_Tate
|
| gptkbp:bfsLayer |
6
|
| https://www.w3.org/2000/01/rdf-schema#label |
Tate's theorem on the Galois cohomology of abelian varieties over infinite extensions
|