Statements (25)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:automorphismGroup |
84(g-1)
|
| gptkbp:characteristic |
highly symmetric
|
| gptkbp:defines |
A Hurwitz surface is a compact Riemann surface of genus g > 1 with the maximum possible number of automorphisms, namely 84(g-1).
|
| gptkbp:example |
gptkb:Klein_quartic
gptkb:Macbeath_surface First Hurwitz triplet |
| gptkbp:field |
gptkb:mathematics
|
| gptkbp:hasSubfield |
gptkb:algebraic_geometry
gptkb:Riemann_surfaces |
| https://www.w3.org/2000/01/rdf-schema#label |
Hurwitz surfaces
|
| gptkbp:minimumGenus |
3
|
| gptkbp:namedAfter |
gptkb:Adolf_Hurwitz
|
| gptkbp:notableExample |
Klein quartic (genus 3, automorphism group PSL(2,7))
Macbeath surface (genus 7, automorphism group PSL(2,8)) |
| gptkbp:property |
maximal automorphism group for a given genus
|
| gptkbp:relatedTo |
gptkb:Fuchsian_groups
gptkb:moduli_space_of_curves gptkb:triangle_groups algebraic curves |
| gptkbp:studiedIn |
gptkb:topology
complex analysis group theory |
| gptkbp:bfsParent |
gptkb:Klein_quartic
|
| gptkbp:bfsLayer |
5
|