Tate's theorem on the Galois cohomology of abelian varieties over local fields
GPTKB entity
Statements (16)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:author |
gptkb:John_Tate
|
| gptkbp:concerns |
gptkb:Galois_cohomology
local 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 local fields
|
| gptkbp:implies |
finiteness of the Tate–Shafarevich group over local fields
|
| gptkbp:namedAfter |
gptkb:John_Tate
|
| gptkbp:publishedIn |
gptkb:Annals_of_Mathematics
|
| gptkbp:state |
the Galois cohomology groups of abelian varieties over local fields are finite for all degrees except possibly degree 1
|
| gptkbp:usedIn |
study of the arithmetic of abelian varieties
|
| gptkbp:year |
1962
|
| gptkbp:bfsParent |
gptkb:John_Torrence_Tate
|
| gptkbp:bfsLayer |
6
|