EGA I
E884913
EGA I is the first volume of the foundational algebraic geometry treatise "Éléments de Géométrie Algébrique" by Grothendieck and Dieudonné, introducing the basic language and concepts of schemes.
All labels observed (1)
| Label | Occurrences |
|---|---|
| EGA I canonical | 2 |
How this entity was disambiguated
This entity first appeared as the object of triple T10772720 — 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 I Context triple: [Éléments de Géométrie Algébrique, part, EGA I]
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A.
I3
I3 is the IATA airline designator formerly assigned to ATA Airlines, a now-defunct U.S. low-cost carrier.
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B.
IGS
IGS is a global scientific organization that provides high-precision GNSS data and products to support geodesy, Earth science, and positioning applications.
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C.
Este I
Este I is the earliest recognized phase of the Este culture in northern Italy, marking its initial development in the early Iron Age.
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D.
IA 38
IA 38 is a state highway in Iowa that runs north–south through the eastern part of the state, connecting several small communities and regional routes.
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E.
IGU
IGU is the IATA airport code for Foz do Iguaçu International Airport in Brazil, serving the Iguaçu Falls region.
- 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 I Target entity description: EGA I is the first volume of the foundational algebraic geometry treatise "Éléments de Géométrie Algébrique" by Grothendieck and Dieudonné, introducing the basic language and concepts of schemes.
-
A.
I3
I3 is the IATA airline designator formerly assigned to ATA Airlines, a now-defunct U.S. low-cost carrier.
-
B.
IGS
IGS is a global scientific organization that provides high-precision GNSS data and products to support geodesy, Earth science, and positioning applications.
-
C.
Este I
Este I is the earliest recognized phase of the Este culture in northern Italy, marking its initial development in the early Iron Age.
-
D.
IA 38
IA 38 is a state highway in Iowa that runs north–south through the eastern part of the state, connecting several small communities and regional routes.
-
E.
IGU
IGU is the IATA airport code for Foz do Iguaçu International Airport in Brazil, serving the Iguaçu Falls region.
- F. None of above. chosen
Statements (49)
| Predicate | Object |
|---|---|
| instanceOf |
mathematics book
ⓘ
research monograph ⓘ volume of Éléments de Géométrie Algébrique ⓘ |
| aim | to provide a rigorous foundation for algebraic geometry ⓘ |
| audience |
advanced graduate students in algebraic geometry
ⓘ
research mathematicians ⓘ |
| author |
Alexander Grothendieck
NERFINISHED
ⓘ
Jean Dieudonné NERFINISHED ⓘ |
| coAuthorRole |
Dieudonné as expositor and editor
ⓘ
Grothendieck as principal author ⓘ |
| conceptualRole |
basis for later volumes of EGA
ⓘ
introduction to the language of schemes ⓘ |
| field | algebraic geometry ⓘ |
| hasPart |
EGA I, Deuxième partie
NERFINISHED
ⓘ
EGA I, Première partie NERFINISHED ⓘ |
| hasSection |
foundations of commutative algebra for schemes
ⓘ
locally ringed spaces and morphisms ⓘ sheaves and presheaves on topological spaces ⓘ topological properties of spectra ⓘ |
| historicalPeriod | 20th-century mathematics ⓘ |
| influenced |
Hartshorne’s Algebraic Geometry
NERFINISHED
ⓘ
modern scheme-theoretic algebraic geometry ⓘ |
| introducesConcept |
affine scheme
ⓘ
fiber product of schemes ⓘ finite type morphism ⓘ locally ringed space ⓘ morphism of schemes ⓘ quasi-coherent sheaf ⓘ scheme ⓘ separated morphism ⓘ spectrum of a ring ⓘ structure sheaf of a scheme ⓘ universal property in algebraic geometry ⓘ |
| language | French ⓘ |
| notationStyle | Bourbaki-influenced formalism ⓘ |
| partOf | Éléments de Géométrie Algébrique NERFINISHED ⓘ |
| positionInSeries | 1 ⓘ |
| precedes | EGA II NERFINISHED ⓘ |
| publicationType |
journal article
ⓘ
monograph ⓘ |
| publishedIn | Publications Mathématiques de l’IHÉS NERFINISHED ⓘ |
| publisher | Institut des Hautes Études Scientifiques NERFINISHED ⓘ |
| series | Éléments de Géométrie Algébrique NERFINISHED ⓘ |
| shortTitle | EGA I NERFINISHED ⓘ |
| subject |
commutative algebra
ⓘ
foundations of algebraic geometry ⓘ schemes ⓘ sheaf theory ⓘ |
| title | Éléments de Géométrie Algébrique I NERFINISHED ⓘ |
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 I Description of subject: EGA I is the first volume of the foundational algebraic geometry treatise "Éléments de Géométrie Algébrique" by Grothendieck and Dieudonné, introducing the basic language and concepts of schemes.
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.