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gptkbp:instanceOf
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gptkb:logic
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gptkbp:appliesTo
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algebraic groups
algebraic varieties
field extensions
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|
gptkbp:developedBy
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mid 20th century
|
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gptkbp:field
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gptkb:algebraic_geometry
algebraic number theory
|
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gptkbp:hasApplication
|
study of quadratic forms
arithmetic of abelian varieties
classification of central simple algebras
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gptkbp:hasInvariant
|
cohomology group H^n(G, M)
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|
https://www.w3.org/2000/01/rdf-schema#label
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Galois cohomology
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|
gptkbp:notableIdea
|
gptkb:Brauer_group
gptkb:Kummer_theory
gptkb:Tate_cohomology
gptkb:Shafarevich–Tate_group
gptkb:Hilbert's_Theorem_90
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|
gptkbp:notablePerson
|
gptkb:Emil_Artin
gptkb:Jean-Pierre_Serre
gptkb:John_Tate
|
|
gptkbp:relatedTo
|
gptkb:étale_cohomology
class field theory
group cohomology
|
|
gptkbp:studies
|
cohomology of Galois groups
|
|
gptkbp:usedFor
|
obstruction theory
descent theory
classification of torsors
local-global principles
|
|
gptkbp:uses
|
continuous cochains
profinite groups
Galois modules
|
|
gptkbp:bfsParent
|
gptkb:Milnor_K-theory
gptkb:Tate_cohomology
gptkb:Tate_duality_theorem
gptkb:Milnor_conjecture
|
|
gptkbp:bfsLayer
|
5
|