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... > topology > algebraic topology > manifold > differentiable manifold > complex manifold > Riemann surface > Hurwitz surface
... > geometry > topological space > manifold > differentiable manifold > complex manifold > Riemann surface > Hurwitz surface
... > geometry > differential geometry > differentiable manifold > complex manifold > Riemann surface > Hurwitz surface
... > topology > differential topology > differentiable manifold > complex manifold > Riemann surface > Hurwitz surface
geometry > complex geometry > complex manifold > Riemann surface > Hurwitz surface
geometry > non-Euclidean geometry > hyperbolic geometry > Hurwitz surface
geometry > differential geometry > differential geometry of surfaces > Hurwitz surface

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Hurwitz surface  

Definition

  • In Riemann surface theory and hyperbolic geometry, a Hurwitz surface, named after Adolf Hurwitz, is a compact Riemann surface with precisely 84(g − 1) automorphisms, where g is the genus of the surface. This number is maximal by virtue of Hurwitz's theorem on automorphisms (Hurwitz 1893). They are also referred to as Hurwitz curves, interpreting them as complex algebraic curves (complex dimension 1 = real dimension 2).
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Hurwitz_surface)

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http://data.loterre.fr/ark:/67375/PSR-C4JVNML5-C

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RDF/XML TURTLE JSON-LD Created 7/21/23, last modified 7/21/23