Statements (17)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
abelian varieties over finite fields
|
| gptkbp:describes |
relationship between Galois cohomology and abelian varieties
|
| gptkbp:field |
algebraic number theory
arithmetic geometry |
| https://www.w3.org/2000/01/rdf-schema#label |
Tate's theorem
|
| gptkbp:influenced |
modern algebraic geometry
study of abelian varieties |
| gptkbp:namedAfter |
gptkb:John_Tate
|
| gptkbp:publishedIn |
gptkb:Endomorphisms_of_abelian_varieties_over_finite_fields_(Inventiones_Mathematicae,_1966)
|
| gptkbp:relatedTo |
gptkb:Frobenius_endomorphism
gptkb:Weil_conjectures gptkb:Tate_module |
| gptkbp:state |
Homomorphisms of abelian varieties over finite fields correspond to Galois-invariant homomorphisms of their Tate modules
|
| gptkbp:yearProved |
1966
|
| gptkbp:bfsParent |
gptkb:John_T._Tate
|
| gptkbp:bfsLayer |
5
|