CG

E883486

abbreviation mathematical theory

CG is the standard abbreviation for "Cohomologie Galoisienne," a foundational area of mathematics studying Galois cohomology and its applications in number theory and algebraic geometry.

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All labels observed (1)

Label	Occurrences
CG canonical	1

Statements (45)

Predicate	Object
instanceOf	abbreviation ⓘ mathematical theory ⓘ
appliesTo	algebraic number fields ⓘ global fields ⓘ local fields ⓘ
areaOf	mathematics ⓘ
developedBy	Alexander Grothendieck NERFINISHED ⓘ Jean-Pierre Serre NERFINISHED ⓘ John Tate NERFINISHED ⓘ Serge Lang NERFINISHED ⓘ
field	Galois cohomology ⓘ
frameworkFor	cohomological interpretation of global class field theory ⓘ cohomological interpretation of local class field theory ⓘ
hasConcept	Hochschild–Serre spectral sequence NERFINISHED ⓘ Poitou–Tate duality NERFINISHED ⓘ Tate duality NERFINISHED ⓘ cohomological dimension of fields ⓘ cohomology groups H^n(G,M) ⓘ cup product ⓘ inflation–restriction sequence ⓘ
hasTool	continuous cochains ⓘ derived functors ⓘ spectral sequences ⓘ
influenced	arithmetic geometry ⓘ motivic cohomology ⓘ étale cohomology ⓘ
languageOf	modern class field theory ⓘ
relatedTo	Brauer group NERFINISHED ⓘ Hilbert 90 NERFINISHED ⓘ Kummer theory NERFINISHED ⓘ Tate cohomology NERFINISHED ⓘ Weil group NERFINISHED ⓘ class field theory ⓘ étale cohomology NERFINISHED ⓘ
standsFor	Cohomologie Galoisienne NERFINISHED ⓘ
studies	Galois modules ⓘ cohomology of Galois groups ⓘ
usedFor	Shafarevich–Tate groups NERFINISHED ⓘ classification of torsors ⓘ description of extensions of fields ⓘ local-global principles ⓘ obstruction theory in number theory ⓘ study of rational points on varieties ⓘ
usedIn	algebraic geometry ⓘ number theory ⓘ

Referenced by (1)

Full triples — surface form annotated when it differs from this entity's canonical label.

Cohomologie Galoisienne → hasAbbreviation → CG ⓘ