CG
E883486
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.
All labels observed (1)
| Label | Occurrences |
|---|---|
| CG canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T10732955 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: CG Context triple: [Cohomologie Galoisienne, hasAbbreviation, CG]
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A.
CG
CG is the stock ticker symbol for The Carlyle Group, a major global alternative asset management and private equity firm.
-
B.
GD
GD is the stock ticker symbol for General Dynamics, a major American aerospace and defense corporation.
-
C.
GD
GD is the abbreviation for Guangdong, a populous and economically significant coastal province in southern China.
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D.
GD
GD is the vehicle registration code used on license plates for cars registered in the city of Gdańsk, Poland.
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E.
GD
GD is the vehicle registration code assigned to the town of Aalen in the German state of Baden-Württemberg.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: CG Target entity description: 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.
-
A.
CG
CG is the stock ticker symbol for The Carlyle Group, a major global alternative asset management and private equity firm.
-
B.
GD
GD is the stock ticker symbol for General Dynamics, a major American aerospace and defense corporation.
-
C.
GD
GD is the abbreviation for Guangdong, a populous and economically significant coastal province in southern China.
-
D.
GD
GD is the vehicle registration code assigned to the town of Aalen in the German state of Baden-Württemberg.
-
E.
GD
GD is the vehicle registration code used on license plates for cars registered in the city of Gdańsk, Poland.
- F. None of above. chosen
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 ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: CG Description of subject: 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.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.