Hurwitz surface

id: hurwitz-surface-268-12129856
title: Hurwitz surface
text: 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). The Fuchsian group of a Hurwitz surface is a finite index torsionfree normal
brand slug: wiki
category slug: encyclopedia
description:
original url: https://en.wikipedia.org/wiki/Hurwitz_surface
date created:
date modified: 2024-02-08T07:03:08Z
main entity: {"identifier":"Q5948842","url":"https://www.wikidata.org/entity/Q5948842"}
image: {"content_url":"https://upload.wikimedia.org/wikipedia/commons/e/ef/Order-7_triangular_tiling.svg","width":2000,"height":2000}
fields total: 13
integrity: 14

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