SGA 4½
E884916
SGA 4½ is a supplementary volume to Grothendieck’s Séminaire de Géométrie Algébrique that develops additional cohomological and topos-theoretic tools bridging SGA 4 and SGA 5.
All labels observed (3)
How this entity was disambiguated
This entity first appeared as the object of triple T10772773 — 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: SGA 4½ Context triple: [SGA, hasPart, SGA 4½]
-
A.
SG4
SG4 is a postcode district in the SG (Stevenage) postcode area of England, covering parts of Hitchin and surrounding localities in Hertfordshire.
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B.
Star Four
Star Four was an early 20th-century American automobile model produced by Durant Motors as part of its lineup of affordable cars.
-
C.
Cuartero
Cuartero is a rural municipality in the province of Capiz in the Western Visayas region of the Philippines.
-
D.
The Forty-Fours
The Forty-Fours are a small, remote group of rocky islets forming the easternmost part of New Zealand’s Chatham Islands archipelago.
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E.
S45
S45 is the FAA location identifier for Siletz Bay State Airport, a public airport serving the Lincoln City area in Oregon, United States.
- 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: SGA 4½ Target entity description: SGA 4½ is a supplementary volume to Grothendieck’s Séminaire de Géométrie Algébrique that develops additional cohomological and topos-theoretic tools bridging SGA 4 and SGA 5.
-
A.
SG4
SG4 is a postcode district in the SG (Stevenage) postcode area of England, covering parts of Hitchin and surrounding localities in Hertfordshire.
-
B.
Star Four
Star Four was an early 20th-century American automobile model produced by Durant Motors as part of its lineup of affordable cars.
-
C.
Cuartero
Cuartero is a rural municipality in the province of Capiz in the Western Visayas region of the Philippines.
-
D.
The Forty-Fours
The Forty-Fours are a small, remote group of rocky islets forming the easternmost part of New Zealand’s Chatham Islands archipelago.
-
E.
S45
S45 is the FAA location identifier for Siletz Bay State Airport, a public airport serving the Lincoln City area in Oregon, United States.
- F. None of above. chosen
Statements (38)
| Predicate | Object |
|---|---|
| instanceOf |
mathematics book
ⓘ
research monograph ⓘ supplementary volume ⓘ |
| aimsTo | clarify technical tools used in SGA 5 ⓘ |
| author | Pierre Deligne ⓘ |
| basedOnWorkBy | Alexander Grothendieck ⓘ |
| bridges |
SGA 4
ⓘ
SGA 5 ⓘ |
| contains | exposé by Pierre Deligne ⓘ |
| countryOfPublication | Germany ⓘ |
| develops |
additional cohomological tools
ⓘ
additional topos-theoretic tools ⓘ |
| editor | Pierre Deligne ⓘ |
| focusesOn | applications of étale cohomology to arithmetic geometry ⓘ |
| follows | SGA 4 ⓘ |
| hasAbbreviation | SGA 4.5 ⓘ |
| hasInfluenced |
cohomological techniques in number theory
ⓘ
development of ℓ-adic cohomology ⓘ |
| isSupplementTo | Séminaire de Géométrie Algébrique IV ⓘ |
| language | French ⓘ |
| mathematicsSubjectClassification |
14F20
ⓘ
18F20 ⓘ |
| partOf | Séminaire de Géométrie Algébrique du Bois Marie ⓘ |
| precedes | SGA 5 ⓘ |
| publicationYear | 1977 ⓘ |
| publisher |
Springer-Verlag
ⓘ
linked to:
Springer
|
| relatedTo |
Grothendieck topologies
ⓘ
linked to:
Grothendieck topology
Weil conjectures ⓘ derived functors in topos theory ⓘ |
| series | Lecture Notes in Mathematics ⓘ |
| subject |
algebraic geometry
ⓘ
cohomological methods ⓘ topos theory ⓘ étale cohomology ⓘ |
| title | Cohomologie étale ⓘ |
| usedIn |
arithmetic geometry research
ⓘ
modern étale cohomology theory ⓘ |
| volumeNumber | 569 ⓘ |
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: SGA 4½ Description of subject: SGA 4½ is a supplementary volume to Grothendieck’s Séminaire de Géométrie Algébrique that develops additional cohomological and topos-theoretic tools bridging SGA 4 and SGA 5.
Referenced by (4)
Full triples — surface form annotated when it differs from this entity's canonical label.
linked to: SGA 4½
linked to: SGA 4½