Tate's theorem on the Galois cohomology of abelian varieties over infinite extensions

URI: https://gptkb.org/entity/Tate's_theorem_on_the_Galois_cohomology_of_abelian_varieties_over_infinite_extensions
GPTKB entity
Statements (19)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:author gptkb:John_Tate
gptkbp:concerns gptkb:Galois_cohomology
abelian varieties
infinite Galois extensions
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 infinite extensions
gptkbp:influenced arithmetic geometry
study of Selmer groups
gptkbp:namedAfter gptkb:John_Tate
gptkbp:publicationYear 1966
gptkbp:publishedIn gptkb:Annals_of_Mathematics
gptkbp:relatedTo gptkb:Tate_module
gptkb:Mordell-Weil_theorem
gptkbp:result vanishing of certain Galois cohomology groups
finiteness of Galois cohomology groups under certain conditions
gptkbp:bfsParent gptkb:John_Torrence_Tate
gptkbp:bfsLayer 6