Tate's theorem on the Galois cohomology of abelian varieties over global fields
GPTKB entity
Statements (17)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
abelian varieties over global fields
|
| gptkbp:author |
gptkb:John_Tate
|
| 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 global fields
|
| gptkbp:namedAfter |
gptkb:John_Tate
|
| gptkbp:provenBy |
duality between Galois cohomology groups of abelian varieties
finiteness of the Tate–Shafarevich group under certain conditions |
| gptkbp:relatedTo |
gptkb:Tate–Shafarevich_group
gptkb:Poitou–Tate_duality |
| gptkbp:statedIn |
gptkb:John_Tate's_1962_paper_"Duality_theorems_in_Galois_cohomology_over_number_fields"
|
| gptkbp:topic |
gptkb:algebraic_geometry
gptkb:Galois_cohomology global field |
| gptkbp:bfsParent |
gptkb:John_Torrence_Tate
|
| gptkbp:bfsLayer |
6
|