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gptkbp:instanceOf
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gptkb:group_of_people
gptkb:mathematical_concept
|
|
gptkbp:category
|
algebraic group theory
arithmetic geometry
|
|
gptkbp:cohomologyInterpretation
|
first Galois cohomology group H^1(Gal(K^sep/K),A)
|
|
gptkbp:containsElement
|
torsors under an abelian variety
|
|
gptkbp:definedIn
|
abelian variety over a field
|
|
gptkbp:describes
|
principal homogeneous spaces of an abelian variety
|
|
gptkbp:field
|
gptkb:algebraic_geometry
number theory
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
Weil–Châtelet group
|
|
gptkbp:namedAfter
|
gptkb:André_Weil
gptkb:François_Châtelet
|
|
gptkbp:notation
|
WC(A/K)
|
|
gptkbp:relatedTo
|
gptkb:Tate–Shafarevich_group
gptkb:Mordell–Weil_group
|
|
gptkbp:type
|
group of isomorphism classes
|
|
gptkbp:usedIn
|
study of rational points on abelian varieties
|
|
gptkbp:bfsParent
|
gptkb:Tate's_theorem_on_the_Galois_cohomology_of_abelian_varieties_over_number_fields
gptkb:Tate's_theorem_on_the_Galois_cohomology_of_abelian_varieties_over_p-adic_fields
gptkb:Tate's_theorem_on_the_Galois_cohomology_of_abelian_varieties_over_perfect_fields
gptkb:Galois_cohomology_group
|
|
gptkbp:bfsLayer
|
7
|