Statements (19)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
finite fields
|
| gptkbp:author |
gptkb:John_Tate
|
| gptkbp:citation |
many works in arithmetic geometry
|
| gptkbp:concerns |
abelian varieties
isogenies |
| gptkbp:field |
gptkb:algebraic_geometry
number theory |
| https://www.w3.org/2000/01/rdf-schema#label |
Tate's isogeny theorem
|
| gptkbp:influenced |
theory of abelian varieties over finite fields
|
| gptkbp:publishedIn |
gptkb:Inventiones_Mathematicae
|
| gptkbp:relatedTo |
gptkb:Weil_conjectures
gptkb:Tate_module gptkb:Honda–Tate_theorem |
| gptkbp:sentence |
Two abelian varieties over a finite field are isogenous if and only if their Tate modules are isomorphic as Galois modules.
|
| gptkbp:yearProved |
1966
|
| gptkbp:bfsParent |
gptkb:Tate_module
gptkb:John_T._Tate |
| gptkbp:bfsLayer |
5
|