EGA
E254120
foundational work in algebraic geometry
mathematical treatise
multi-volume work
volume of Éléments de Géométrie Algébrique
EGA (Éléments de Géométrie Algébrique) is Alexander Grothendieck’s foundational multi-volume work that rigorously reformulated algebraic geometry using the language of schemes and sheaf theory.
All labels observed (1)
| Label | Occurrences |
|---|---|
| EGA canonical | 4 |
How this entity was disambiguated
This entity first appeared as the object of triple T2290626 — 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: EGA Context triple: [Alexander Grothendieck, knownFor, EGA]
-
A.
EGA
EGA is the common abbreviation for the Eagle, Globe, and Anchor emblem that symbolizes the United States Marine Corps.
-
B.
EGA
EGA (Enhanced Graphics Adapter) is an early IBM PC graphics standard that improved color and resolution capabilities over the original CGA.
-
C.
EGVA
EGVA is the ICAO airport code for RAF Fairford, a Royal Air Force station in Gloucestershire, England used primarily by the United States Air Force for bomber and airlift operations.
-
D.
EG
EG is the standard abbreviation for the Egmont Group, an international network of Financial Intelligence Units that collaborates to combat money laundering and terrorist financing.
-
E.
GLE
The Mercedes-Benz GLE is a mid-size luxury SUV known for its premium comfort, advanced technology, and strong performance within the brand’s lineup.
- 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: EGA Target entity description: EGA (Éléments de Géométrie Algébrique) is Alexander Grothendieck’s foundational multi-volume work that rigorously reformulated algebraic geometry using the language of schemes and sheaf theory.
-
A.
EGA
EGA is the common abbreviation for the Eagle, Globe, and Anchor emblem that symbolizes the United States Marine Corps.
-
B.
EGA
EGA (Enhanced Graphics Adapter) is an early IBM PC graphics standard that improved color and resolution capabilities over the original CGA.
-
C.
EGVA
EGVA is the ICAO airport code for RAF Fairford, a Royal Air Force station in Gloucestershire, England used primarily by the United States Air Force for bomber and airlift operations.
-
D.
EG
EG is the standard abbreviation for the Egmont Group, an international network of Financial Intelligence Units that collaborates to combat money laundering and terrorist financing.
-
E.
GLE
The Mercedes-Benz GLE is a mid-size luxury SUV known for its premium comfort, advanced technology, and strong performance within the brand’s lineup.
- F. None of above. chosen
Statements (50)
| Predicate | Object |
|---|---|
| instanceOf |
foundational work in algebraic geometry
ⓘ
mathematical treatise ⓘ multi-volume work ⓘ volume of Éléments de Géométrie Algébrique ⓘ volume of Éléments de Géométrie Algébrique ⓘ volume of Éléments de Géométrie Algébrique ⓘ volume of Éléments de Géométrie Algébrique ⓘ |
| abbreviation | Publ. Math. IHÉS ⓘ |
| author | Alexander Grothendieck ⓘ |
| basedOn | commutative algebra ⓘ |
| coauthor | Jean Dieudonné ⓘ |
| defines |
Noetherian space
ⓘ
surface form:
Noetherian scheme
affine scheme ⓘ coherent sheaf ⓘ dimension of a scheme ⓘ fiber product of schemes ⓘ flat morphism ⓘ morphism of schemes ⓘ proper morphism ⓘ quasi-coherent sheaf ⓘ scheme ⓘ separated morphism of schemes ⓘ |
| field | algebraic geometry ⓘ |
| focusesOn |
coherent sheaves
ⓘ
dimension theory ⓘ divisors and Picard groups ⓘ flatness and fibers of morphisms ⓘ foundations of scheme theory ⓘ language of categories and functors ⓘ local study of schemes ⓘ proper morphisms ⓘ sheaf cohomology ⓘ |
| formalism |
category theory
ⓘ
functorial viewpoint ⓘ |
| fullName |
Éléments de géométrie algébrique
ⓘ
surface form:
Éléments de Géométrie Algébrique
|
| hasAbbreviation | EGA self-linksurface differs ⓘ |
| influenced |
modern algebraic geometry
ⓘ
the development of SGA (Séminaire de Géométrie Algébrique) ⓘ the theory of schemes ⓘ |
| introducesFramework | modern scheme-theoretic algebraic geometry ⓘ |
| language | French ⓘ |
| part |
EGA I
ⓘ
EGA II ⓘ EGA III ⓘ EGA IV ⓘ |
| publicationForm | series of journal articles ⓘ |
| publisher | Institut des Hautes Études Scientifiques ⓘ |
| startPublicationYear | 1960 ⓘ |
| usesConcept |
scheme theory
ⓘ
sheaf 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: EGA Description of subject: EGA (Éléments de Géométrie Algébrique) is Alexander Grothendieck’s foundational multi-volume work that rigorously reformulated algebraic geometry using the language of schemes and sheaf theory.
Referenced by (4)
Full triples — surface form annotated when it differs from this entity's canonical label.
subject surface form:
Éléments de Géométrie Algébrique