Hurwitz surface

noun

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.

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Meanings

nounHurwitz surface (plural Hurwitz surfaces)

plural Hurwitz surfaces

  1. geometryA 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.

Origin

Named after Adolf Hurwitz.

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Cite this entry
APA

Hurwitz surface. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/Hurwitz%20surface

MLA

“Hurwitz surface.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Hurwitz%20surface. Accessed November 3, 2026.

Chicago

WatkinsX Dictionary, s.v. “Hurwitz surface,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/Hurwitz%20surface.

Source: Hurwitz surface on Wiktionary, CC BY-SA 4.0.