Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
local fields
global fields finite Galois modules |
| gptkbp:describes |
duality between Galois cohomology groups
|
| gptkbp:field |
algebraic number theory
arithmetic geometry |
| https://www.w3.org/2000/01/rdf-schema#label |
Tate duality
|
| gptkbp:introducedIn |
1950s
|
| gptkbp:namedAfter |
gptkb:John_Tate
|
| gptkbp:relatedTo |
gptkb:Poitou–Tate_duality
global Tate duality local Tate duality |
| gptkbp:theory |
gptkb:Tate_global_duality_theorem
gptkb:Tate_local_duality_theorem |
| gptkbp:usedIn |
class field theory
arithmetic of abelian varieties study of Selmer groups study of Tate–Shafarevich group |
| gptkbp:bfsParent |
gptkb:John_Torrence_Tate
gptkb:Weil_reciprocity_law |
| gptkbp:bfsLayer |
6
|