Faltings's isogeny theorem

GPTKB entity

Statements (13)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:field arithmetic geometry
https://www.w3.org/2000/01/rdf-schema#label Faltings's isogeny theorem
gptkbp:implies Tate conjecture for abelian varieties over number fields
gptkbp:namedAfter gptkb:Gerd_Faltings
gptkbp:publishedIn gptkb:Annals_of_Mathematics
gptkbp:relatedTo gptkb:algebraic_geometry
gptkb:Tate_module
isogeny
gptkbp:state Two abelian varieties over a number field are isogenous if and only if their Tate modules are isomorphic as Galois modules
gptkbp:yearProved 1983
gptkbp:bfsParent gptkb:Gerd_Faltings
gptkbp:bfsLayer 4