NUMERICAL UNIFORMIZATION OF HYPERELLIPTIC-M-SYMMETRIC RIEMANN SURFACES

In this note we consider hyperelliptic-M-symmetric Riemann surfaces, that is, hyperelliptic Riemann surfaces with a symmetry with maximal number of components of fixed points. These surfaces can be represented either by real algebraic curves or by real Schottky groups. To obtain one of these in term...

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Autor principal:	HIDALGO,RUBÉN
Lenguaje:	English
Publicado:	Universidad Católica del Norte, Departamento de Matemáticas 2001
Materias:	Schottky groups Riemann surfaces Riemann matrices
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172001000300007
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spelling	oai:scielo:S0716-091720010003000072002-07-15NUMERICAL UNIFORMIZATION OF HYPERELLIPTIC-M-SYMMETRIC RIEMANN SURFACESHIDALGO,RUBÉN Schottky groups Riemann surfaces Riemann matrices In this note we consider hyperelliptic-M-symmetric Riemann surfaces, that is, hyperelliptic Riemann surfaces with a symmetry with maximal number of components of fixed points. These surfaces can be represented either by real algebraic curves or by real Schottky groups. To obtain one of these in terms of the other is difficult. In this note we proceed to describe explicit transcendental relations between the different sets of parameters these representations give. This can be used to obtain a computer program which permits obtain numerical approximations of the algebraic curve in terms of real Schottky group and viceversainfo:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.20 n.3 20012001-12-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172001000300007en10.4067/S0716-09172001000300007
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Schottky groups Riemann surfaces Riemann matrices
spellingShingle	Schottky groups Riemann surfaces Riemann matrices HIDALGO,RUBÉN NUMERICAL UNIFORMIZATION OF HYPERELLIPTIC-M-SYMMETRIC RIEMANN SURFACES
description	In this note we consider hyperelliptic-M-symmetric Riemann surfaces, that is, hyperelliptic Riemann surfaces with a symmetry with maximal number of components of fixed points. These surfaces can be represented either by real algebraic curves or by real Schottky groups. To obtain one of these in terms of the other is difficult. In this note we proceed to describe explicit transcendental relations between the different sets of parameters these representations give. This can be used to obtain a computer program which permits obtain numerical approximations of the algebraic curve in terms of real Schottky group and viceversa
author	HIDALGO,RUBÉN
author_facet	HIDALGO,RUBÉN
author_sort	HIDALGO,RUBÉN
title	NUMERICAL UNIFORMIZATION OF HYPERELLIPTIC-M-SYMMETRIC RIEMANN SURFACES
title_short	NUMERICAL UNIFORMIZATION OF HYPERELLIPTIC-M-SYMMETRIC RIEMANN SURFACES
title_full	NUMERICAL UNIFORMIZATION OF HYPERELLIPTIC-M-SYMMETRIC RIEMANN SURFACES
title_fullStr	NUMERICAL UNIFORMIZATION OF HYPERELLIPTIC-M-SYMMETRIC RIEMANN SURFACES
title_full_unstemmed	NUMERICAL UNIFORMIZATION OF HYPERELLIPTIC-M-SYMMETRIC RIEMANN SURFACES
title_sort	numerical uniformization of hyperelliptic-m-symmetric riemann surfaces
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2001
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172001000300007
work_keys_str_mv	AT hidalgoruben numericaluniformizationofhyperellipticmsymmetricriemannsurfaces
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NUMERICAL UNIFORMIZATION OF HYPERELLIPTIC-M-SYMMETRIC RIEMANN SURFACES

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