Tate's theorem on the Galois cohomology of abelian varieties over number fields
GPTKB entity
Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:author |
gptkb:John_Tate
|
| gptkbp:concerns |
gptkb:Galois_cohomology
number fields abelian varieties |
| 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 number fields
|
| gptkbp:implies |
finiteness of the Tate–Shafarevich group under certain conditions
|
| gptkbp:namedAfter |
gptkb:John_Tate
|
| gptkbp:publicationYear |
1966
|
| gptkbp:publishedIn |
gptkb:Proceedings_of_the_International_Congress_of_Mathematicians_1962
|
| gptkbp:relatedTo |
gptkb:Mordell–Weil_theorem
gptkb:Tate–Shafarevich_group gptkb:Weil–Châtelet_group |
| gptkbp:sentence |
The Galois cohomology group H^1(G_K, A) of an abelian variety A over a number field K is finite.
|
| gptkbp:bfsParent |
gptkb:John_Torrence_Tate
|
| gptkbp:bfsLayer |
6
|