Tate's theorem on the Galois cohomology of abelian varieties over algebraic fields
GPTKB entity
Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:author |
gptkb:John_Tate
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| gptkbp:concerns |
gptkb:Galois_cohomology
abelian varieties algebraic fields |
| 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 algebraic fields
|
| gptkbp:implies |
gptkb:Tate_conjecture_for_abelian_varieties_over_finite_fields
|
| gptkbp:namedAfter |
gptkb:John_Tate
|
| gptkbp:publishedIn |
gptkb:Proceedings_of_the_International_Congress_of_Mathematicians_1966
|
| gptkbp:relatedTo |
gptkb:Frobenius_endomorphism
gptkb:Weil_conjectures gptkb:Tate_module |
| gptkbp:state |
For an abelian variety A over a finite field k, the natural map from Hom(A,B)⊗Zl to Hom_Gal(Gal(k^sep/k))(TlA,TlB) is an isomorphism for l≠char(k).
|
| gptkbp:yearProved |
1966
|
| gptkbp:bfsParent |
gptkb:John_Torrence_Tate
|
| gptkbp:bfsLayer |
6
|