EGA IV
E884915
EGA IV is the fourth and most extensive part of Grothendieck and Dieudonné’s foundational treatise Éléments de Géométrie Algébrique, developing the general theory of schemes and morphisms in modern algebraic geometry.
All labels observed (1)
| Label | Occurrences |
|---|---|
| EGA IV canonical | 2 |
How this entity was disambiguated
This entity first appeared as the object of triple T10772723 — 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 IV Context triple: [Éléments de Géométrie Algébrique, part, EGA IV]
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A.
Amt IV
Amt IV was the Gestapo (Secret State Police) department within Nazi Germany’s Reich Main Security Office, responsible for political repression, surveillance, and persecution.
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B.
Enyaq iV
Enyaq iV is Škoda’s all-electric compact SUV designed as a family-friendly, zero-emission vehicle built on the Volkswagen Group’s MEB platform.
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C.
Iven
Iven is the given name of Iven C. Kincheloe Jr., a noted American test pilot and Korean War flying ace.
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D.
RA IV
RA IV is the World Meteorological Organization’s Regional Association for North America, Central America, and the Caribbean, coordinating meteorological and hydrological activities across those countries.
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E.
Este IV
Este IV is the final and most advanced phase of the Iron Age Este culture in northern Italy, marked by increased social complexity, trade, and distinctive material culture.
- 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 IV Target entity description: EGA IV is the fourth and most extensive part of Grothendieck and Dieudonné’s foundational treatise Éléments de Géométrie Algébrique, developing the general theory of schemes and morphisms in modern algebraic geometry.
-
A.
Amt IV
Amt IV was the Gestapo (Secret State Police) department within Nazi Germany’s Reich Main Security Office, responsible for political repression, surveillance, and persecution.
-
B.
Enyaq iV
Enyaq iV is Škoda’s all-electric compact SUV designed as a family-friendly, zero-emission vehicle built on the Volkswagen Group’s MEB platform.
-
C.
Iven
Iven is the given name of Iven C. Kincheloe Jr., a noted American test pilot and Korean War flying ace.
-
D.
RA IV
RA IV is the World Meteorological Organization’s Regional Association for North America, Central America, and the Caribbean, coordinating meteorological and hydrological activities across those countries.
-
E.
Este IV
Este IV is the final and most advanced phase of the Iron Age Este culture in northern Italy, marked by increased social complexity, trade, and distinctive material culture.
- F. None of above. chosen
Statements (49)
| Predicate | Object |
|---|---|
| instanceOf |
book
ⓘ
mathematical treatise ⓘ part of Éléments de Géométrie Algébrique ⓘ |
| author |
Alexander Grothendieck
NERFINISHED
ⓘ
Jean Dieudonné NERFINISHED ⓘ |
| consistsOf |
EGA IV.1
NERFINISHED
ⓘ
EGA IV.2 NERFINISHED ⓘ EGA IV.3 NERFINISHED ⓘ EGA IV.4 ⓘ |
| defines | various classes of morphisms of schemes ⓘ |
| develops |
Noetherian schemes
ⓘ
base change for morphisms ⓘ coherent sheaves on schemes ⓘ constructible sets in schemes ⓘ dimension theory of schemes ⓘ fibered products of schemes ⓘ finiteness conditions for morphisms ⓘ flat morphisms ⓘ flatness theory ⓘ general theory of morphisms of schemes ⓘ general theory of schemes ⓘ generic fibers and special fibers ⓘ projective morphisms ⓘ proper morphisms ⓘ separated morphisms ⓘ smooth morphisms ⓘ unramified morphisms ⓘ étale morphisms ⓘ |
| field | algebraic geometry ⓘ |
| firstPublicationYear | 1964 ⓘ |
| hasStatus | most extensive part of Éléments de Géométrie Algébrique ⓘ |
| influenced | modern scheme-theoretic algebraic geometry ⓘ |
| inSeriesAfter | EGA III NERFINISHED ⓘ |
| inSeriesBefore | EGA V NERFINISHED ⓘ |
| institution | IHÉS NERFINISHED ⓘ |
| isPartOfSeries | EGA NERFINISHED ⓘ |
| language | French ⓘ |
| lastPublicationYear | 1967 ⓘ |
| partOf | Éléments de Géométrie Algébrique NERFINISHED ⓘ |
| publicationPeriod | 1964–1967 ⓘ |
| publicationPlace | Bures-sur-Yvette NERFINISHED ⓘ |
| publishedIn | Publications Mathématiques de l’IHÉS NERFINISHED ⓘ |
| publisher | Publications Mathématiques de l’IHÉS NERFINISHED ⓘ |
| seriesNumber | 4 ⓘ |
| subject |
foundations of algebraic geometry
ⓘ
morphisms of schemes ⓘ scheme theory ⓘ |
| subtitle | Étude locale des schémas et des morphismes de schémas NERFINISHED ⓘ |
| title | Éléments de Géométrie Algébrique IV 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 IV Description of subject: EGA IV is the fourth and most extensive part of Grothendieck and Dieudonné’s foundational treatise Éléments de Géométrie Algébrique, developing the general theory of schemes and morphisms in modern algebraic geometry.
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.