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The Riemann Surface of a Uniform Dessin

The Riemann Surface of a Uniform Dessin
The Riemann Surface of a Uniform Dessin
We say that a Dessin (or hypermap) is uniform if all vertices, (resp. edges, faces) have the same valency. Associated to a dessin there is a well-defined compact Riemann surface, or complex algebraic curve, and in this work we make a study of the Riemann surfaces that arise from Uniform dessins.
Riemann surface, dessin, map, triangle group
0138-4821
413-430
Singerman, David
3eeb0783-c87c-4405-81d7-e80ae4c15f8b
Syddall, Robert I.
a123b76c-e1f2-4a02-8e0f-9410cac9e218
Singerman, David
3eeb0783-c87c-4405-81d7-e80ae4c15f8b
Syddall, Robert I.
a123b76c-e1f2-4a02-8e0f-9410cac9e218

Singerman, David and Syddall, Robert I. (2003) The Riemann Surface of a Uniform Dessin. Beiträge zur Algebra und Geometrie, 44 (2), 413-430.

Record type: Article

Abstract

We say that a Dessin (or hypermap) is uniform if all vertices, (resp. edges, faces) have the same valency. Associated to a dessin there is a well-defined compact Riemann surface, or complex algebraic curve, and in this work we make a study of the Riemann surfaces that arise from Uniform dessins.

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More information

Published date: December 2003
Keywords: Riemann surface, dessin, map, triangle group

Identifiers

Local EPrints ID: 39590
URI: http://eprints.soton.ac.uk/id/eprint/39590
ISSN: 0138-4821
PURE UUID: 487d81f4-b409-471b-965b-7133e1fac2b4

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Date deposited: 29 Jun 2006
Last modified: 15 Mar 2024 08:15

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Contributors

Author: David Singerman
Author: Robert I. Syddall

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