Statements (33)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:logic
|
| gptkbp:appliesTo |
algebraic groups
algebraic varieties field extensions |
| gptkbp:developedBy |
mid 20th century
|
| gptkbp:field |
gptkb:algebraic_geometry
algebraic number theory |
| gptkbp:hasApplication |
study of quadratic forms
arithmetic of abelian varieties classification of central simple algebras |
| gptkbp:hasInvariant |
cohomology group H^n(G, M)
|
| gptkbp:notableIdea |
gptkb:Brauer_group
gptkb:Kummer_theory gptkb:Tate_cohomology gptkb:Shafarevich–Tate_group gptkb:Hilbert's_Theorem_90 |
| 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_conjecture
|
| gptkbp:bfsLayer |
5
|
| http://www.w3.org/2000/01/rdf-schema#label |
Galois cohomology
|