Triple
T11085920
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Hurwitz bound on automorphism groups of curves |
E262119
|
entity |
| Predicate | relatedConcept |
P37
|
FINISHED |
| Object | Hurwitz curve |
E50328
|
NE FINISHED |
Disambiguation candidates (1 decision)
The exact options the model was shown at each disambiguation step, with the option it chose highlighted — the evidence behind this triple's disambiguated ids.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Hurwitz curve Context triple: [Hurwitz bound on automorphism groups of curves, relatedConcept, Hurwitz curve]
-
A.
Hurwitz space
A Hurwitz space is a moduli space that parametrizes branched covers of Riemann surfaces (or algebraic curves) with specified branching data.
-
B.
Klein quartic
chosen
The Klein quartic is a highly symmetric algebraic curve of genus 3 that plays a central role in complex geometry, group theory, and the study of Riemann surfaces.
-
C.
Fermat curve
A Fermat curve is an algebraic curve defined by an equation of the form \(x^n + y^n = 1\), studied in number theory and algebraic geometry for its rich arithmetic and geometric properties.
-
D.
Hurwitz bound on automorphism groups of curves
The Hurwitz bound on automorphism groups of curves is a classical result in algebraic geometry stating that a compact Riemann surface of genus at least 2 has at most 84(g − 1) automorphisms.
-
E.
Riemann–Hurwitz formula
The Riemann–Hurwitz formula is a fundamental result in algebraic geometry and complex analysis that relates the genera of two Riemann surfaces connected by a branched covering map, accounting for the ramification data.
- F. None of above.
- G. Unsure - the case is ambiguous/there is not enough information to decide.
Provenance (3 batches)
| Stage | Batch ID | Job type | Status |
|---|---|---|---|
| creating | batch_69d6aa9983c08190b0ef61603b69feac |
elicitation | completed |
| NER | batch_69d799c2c7d4819087ac793153340178 |
ner | completed |
| NED1 | batch_69e3e7a6dfa8819096f822294eb64dd1 |
ned_source_triple | completed |
Created at: April 8, 2026, 9:27 p.m.