Statements (17)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:defines |
A non-constant holomorphic map from a compact Riemann surface to the Riemann sphere, ramified only over three points (usually 0, 1, and ∞).
|
| gptkbp:field |
gptkb:Number_theory
gptkb:Algebraic_geometry |
| https://www.w3.org/2000/01/rdf-schema#label |
Belyi map
|
| gptkbp:introducedIn |
1979
|
| gptkbp:namedAfter |
gptkb:G._V._Belyi
|
| gptkbp:property |
Defined over number fields
Corresponds to a finite covering of the Riemann sphere branched only over three points Every algebraic curve defined over a number field admits a Belyi map |
| gptkbp:relatedTo |
gptkb:Dessins_d'enfants
gptkb:Grothendieck's_theory |
| gptkbp:usedIn |
gptkb:Algebraic_curves
gptkb:Galois_theory Moduli spaces |
| gptkbp:bfsParent |
gptkb:Belyi's_theorem
|
| gptkbp:bfsLayer |
7
|