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
413-430
Singerman, David
3eeb0783-c87c-4405-81d7-e80ae4c15f8b
Syddall, Robert I.
a123b76c-e1f2-4a02-8e0f-9410cac9e218
December 2003
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), .
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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Published date: December 2003
Keywords:
Riemann surface, dessin, map, triangle group
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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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Author:
Robert I. Syddall
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