Tate's theorem on the Galois cohomology of algebraic groups
GPTKB entity
Statements (14)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
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| gptkbp:appliesTo |
algebraic groups
Galois modules |
| gptkbp:field |
gptkb:Galois_cohomology
algebraic number theory |
| https://www.w3.org/2000/01/rdf-schema#label |
Tate's theorem on the Galois cohomology of algebraic groups
|
| gptkbp:namedAfter |
gptkb:John_Tate
|
| gptkbp:publishedIn |
gptkb:Tate,_J._(1963)._Duality_theorems_in_Galois_cohomology_over_number_fields._Proceedings_of_the_International_Congress_of_Mathematicians.
|
| gptkbp:relatedConcept |
gptkb:Tate–Shafarevich_group
gptkb:Poitou–Tate_duality gptkb:Tate_duality |
| gptkbp:sentence |
For a finite Galois module M over a global field K, the cohomology group H^2(Gal(K^s/K), M) is dual to the Tate–Shafarevich group of the dual module.
|
| gptkbp:bfsParent |
gptkb:John_Torrence_Tate
|
| gptkbp:bfsLayer |
6
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