Tate's theorem on the Galois cohomology of number fields
GPTKB entity
Statements (15)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:author |
gptkb:John_Tate
|
| gptkbp:concerns |
gptkb:Galois_cohomology
number fields |
| gptkbp:field |
algebraic number theory
|
| https://www.w3.org/2000/01/rdf-schema#label |
Tate's theorem on the Galois cohomology of number fields
|
| gptkbp:implies |
Galois cohomological dimension of number fields is 2
|
| gptkbp:publishedIn |
gptkb:Proceedings_of_the_International_Congress_of_Mathematicians_1962
|
| gptkbp:relatedTo |
gptkb:Poitou–Tate_duality
gptkb:Tate_duality local-global principles |
| gptkbp:state |
For a number field K and a finite Galois module M, the cohomology groups H^n(Gal(K^sep/K), M) vanish for n > 2.
|
| gptkbp:year |
1962
|
| gptkbp:bfsParent |
gptkb:John_Torrence_Tate
|
| gptkbp:bfsLayer |
6
|