Wiman bound
E904005
The Wiman bound is a classical result in algebraic geometry that gives an upper limit on the size of the automorphism group of certain algebraic curves, refining the general Hurwitz bound in specific cases.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Wiman bound canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T11085939 — 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: Wiman bound Context triple: [Hurwitz bound on automorphism groups of curves, relatedResult, Wiman bound]
-
A.
Barankin bound
The Barankin bound is a fundamental lower bound in statistical estimation theory that generalizes and can be tighter than the Cramér–Rao bound for the variance of unbiased estimators, especially in non-regular or finite-sample settings.
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B.
Busemann
Busemann is a surname most notably associated with Herbert Busemann, a German-American mathematician known for his work in geometry.
-
C.
Bounding Theory
Bounding Theory is a subtheory within Government and Binding Theory in generative linguistics that constrains how far syntactic elements can move in a sentence.
-
D.
WIMM
WIMM is the ICAO airport code for Kualanamu International Airport, a major airport serving Medan and the surrounding region in North Sumatra, Indonesia.
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E.
Beenieman
Beenieman is a prominent Jamaican dancehall deejay and reggae artist often referred to as the "King of Dancehall."
- 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: Wiman bound Target entity description: The Wiman bound is a classical result in algebraic geometry that gives an upper limit on the size of the automorphism group of certain algebraic curves, refining the general Hurwitz bound in specific cases.
-
A.
Barankin bound
The Barankin bound is a fundamental lower bound in statistical estimation theory that generalizes and can be tighter than the Cramér–Rao bound for the variance of unbiased estimators, especially in non-regular or finite-sample settings.
-
B.
Busemann
Busemann is a surname most notably associated with Herbert Busemann, a German-American mathematician known for his work in geometry.
-
C.
Bounding Theory
Bounding Theory is a subtheory within Government and Binding Theory in generative linguistics that constrains how far syntactic elements can move in a sentence.
-
D.
WIMM
WIMM is the ICAO airport code for Kualanamu International Airport, a major airport serving Medan and the surrounding region in North Sumatra, Indonesia.
-
E.
Beenieman
Beenieman is a prominent Jamaican dancehall deejay and reggae artist often referred to as the "King of Dancehall."
- F. None of above. chosen
Statements (25)
| Predicate | Object |
|---|---|
| instanceOf |
mathematical theorem
ⓘ
result in algebraic geometry ⓘ |
| appliesTo |
algebraic curves
ⓘ
compact Riemann surfaces ⓘ |
| characteristicOf | classical results in the theory of Riemann surfaces ⓘ |
| comparesWith | Hurwitz automorphism bound ⓘ |
| concerns | order of automorphism groups ⓘ |
| context |
complex projective algebraic curves
ⓘ
curves of genus at least 2 ⓘ |
| field |
algebraic geometry
ⓘ
theory of algebraic curves ⓘ |
| gives | upper bound on the order of the automorphism group of certain algebraic curves ⓘ |
| hasType | upper bound ⓘ |
| isPartOf | theory of automorphisms of curves ⓘ |
| mathematicianAssociated | Anders Wiman ⓘ |
| namedAfter | Anders Wiman ⓘ |
| refines | Hurwitz bound ⓘ |
| relatedTo |
Hurwitz curves
ⓘ
linked to:
Hurwitz surfaces
finite group actions on curves ⓘ maximal symmetry curves ⓘ |
| topic |
automorphism groups of algebraic curves
ⓘ
finite groups of automorphisms of Riemann surfaces ⓘ |
| usedIn |
classification of highly symmetric algebraic curves
ⓘ
complex analysis on Riemann surfaces ⓘ study of maximal automorphism groups of curves ⓘ |
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: Wiman bound Description of subject: The Wiman bound is a classical result in algebraic geometry that gives an upper limit on the size of the automorphism group of certain algebraic curves, refining the general Hurwitz bound in specific cases.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.