Tate's theorem on the Galois cohomology of abelian varieties over perfect fields
GPTKB entity
Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
perfect fields
|
| gptkbp:concerns |
gptkb:Galois_cohomology
abelian varieties |
| gptkbp:field |
gptkb:algebraic_geometry
number theory |
| gptkbp:namedAfter |
gptkb:John_Tate
|
| gptkbp:provenBy |
gptkb:John_Tate
|
| gptkbp:publishedIn |
gptkb:Proceedings_of_the_International_Congress_of_Mathematicians_1958
|
| gptkbp:relatedTo |
gptkb:Weyl_group
gptkb:Tate_duality gptkb:Weil–Châtelet_group principal homogeneous space |
| gptkbp:state |
The Galois cohomology group H^1(Gal(K^sep/K),A) of an abelian variety A over a perfect field K classifies the isomorphism classes of principal homogeneous spaces under A.
|
| gptkbp:yearProved |
1958
|
| gptkbp:bfsParent |
gptkb:John_Torrence_Tate
|
| gptkbp:bfsLayer |
6
|
| https://www.w3.org/2000/01/rdf-schema#label |
Tate's theorem on the Galois cohomology of abelian varieties over perfect fields
|