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.