EGA II
E884914
EGA II is the second installment of Grothendieck and Dieudonné’s foundational treatise on algebraic geometry, developing the theory of schemes and their properties in a rigorous, modern framework.
All labels observed (1)
| Label | Occurrences |
|---|---|
| EGA II canonical | 5 |
How this entity was disambiguated
This entity first appeared as the object of triple T10772721 — 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 II Context triple: [Éléments de Géométrie Algébrique, part, EGA II]
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A.
Este II
Este II is a key middle phase of the Iron Age Este culture in northern Italy, marked by the development of distinctive funerary practices and material culture.
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B.
GM Gamma II platform
The GM Gamma II platform is a global subcompact vehicle architecture developed by General Motors for small cars and crossovers across multiple brands and markets.
-
C.
EASy II
EASy II is an upgraded generation of Dassault’s EASy flight deck avionics suite, offering enhanced automation, situational awareness, and pilot interface capabilities for business jets.
-
D.
And II
And II is a dwarf spheroidal satellite galaxy of the Andromeda Galaxy located in the Local Group.
-
E.
Factum II
Factum II is a 1957 mixed-media painting by Robert Rauschenberg, celebrated as one of his pioneering “combine” works that challenges ideas of originality and repetition in art.
- 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 II Target entity description: EGA II is the second installment of Grothendieck and Dieudonné’s foundational treatise on algebraic geometry, developing the theory of schemes and their properties in a rigorous, modern framework.
-
A.
Este II
Este II is a key middle phase of the Iron Age Este culture in northern Italy, marked by the development of distinctive funerary practices and material culture.
-
B.
GM Gamma II platform
The GM Gamma II platform is a global subcompact vehicle architecture developed by General Motors for small cars and crossovers across multiple brands and markets.
-
C.
EASy II
EASy II is an upgraded generation of Dassault’s EASy flight deck avionics suite, offering enhanced automation, situational awareness, and pilot interface capabilities for business jets.
-
D.
And II
And II is a dwarf spheroidal satellite galaxy of the Andromeda Galaxy located in the Local Group.
-
E.
Factum II
Factum II is a 1957 mixed-media painting by Robert Rauschenberg, celebrated as one of his pioneering “combine” works that challenges ideas of originality and repetition in art.
- F. None of above. chosen
Statements (41)
| Predicate | Object |
|---|---|
| instanceOf |
book
ⓘ
mathematical treatise ⓘ |
| abbreviationOf |
Éléments de géométrie algébrique II
ⓘ
linked to:
Éléments de géométrie algébrique
|
| aim | to develop algebraic geometry in a rigorous modern framework ⓘ |
| author |
Alexander Grothendieck
ⓘ
Jean Dieudonné ⓘ |
| coAuthorRole |
Dieudonné as expositor and editor
ⓘ
Grothendieck as primary author ⓘ |
| field | algebraic geometry ⓘ |
| follows | EGA I ⓘ |
| framework | modern scheme-theoretic algebraic geometry ⓘ |
| historicalImportance | foundational for modern algebraic geometry ⓘ |
| influenced |
Hartshorne’s Algebraic Geometry
ⓘ
linked to:
Hartshorne Algebraic Geometry
modern textbooks on algebraic geometry ⓘ |
| inSeries |
Éléments de géométrie algébrique volumes
ⓘ
linked to:
Éléments de géométrie algébrique
|
| language | French ⓘ |
| notationStyle | EGA notation ⓘ |
| originalTitle |
Éléments de géométrie algébrique II
ⓘ
linked to:
Éléments de géométrie algébrique
|
| partOf |
EGA
ⓘ
Éléments de géométrie algébrique ⓘ |
| precedes | EGA III ⓘ |
| publishedInSeries |
Publications Mathématiques de l’IHÉS
ⓘ
linked to:
Publ. Math. IHÉS
|
| publisher | Institut des Hautes Études Scientifiques ⓘ |
| seriesNumber | II ⓘ |
| subject |
affine morphisms
ⓘ
base change in algebraic geometry ⓘ fiber products of schemes ⓘ finite morphisms ⓘ global properties of morphisms ⓘ morphisms of schemes ⓘ projective morphisms ⓘ proper morphisms ⓘ quasi-compact morphisms ⓘ scheme theory ⓘ schemes of finite presentation ⓘ schemes of finite type ⓘ separated morphisms ⓘ valuative criteria ⓘ |
| targetAudience |
advanced graduate students in algebraic geometry
ⓘ
research mathematicians ⓘ |
| treats | foundations of schemes and morphisms ⓘ |
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 II Description of subject: EGA II is the second installment of Grothendieck and Dieudonné’s foundational treatise on algebraic geometry, developing the theory of schemes and their properties in a rigorous, modern framework.
Referenced by (5)
Full triples — surface form annotated when it differs from this entity's canonical label.