BOUNDS FOR CONFORMAL AUTOMOMORPHISMS OF RIEMANN SURFACES WITH CONDITION (A)

In this note we consider a class of groups of conformal automorphisms of closed Riemann surfaces containing those which can be lifted to some Schottky uniformization. These groups are those which satisfy a necessary condition for the Schottky lifting property. We find that all these groups have uppe...

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Autor principal:	HIDALGO,RUBÉN A.
Lenguaje:	English
Publicado:	Universidad Católica del Norte, Departamento de Matemáticas 2001
Materias:	Schottky groups Reimann surfaces conformal automorphisms
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172001000200002
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spelling	oai:scielo:S0716-091720010002000022001-11-07BOUNDS FOR CONFORMAL AUTOMOMORPHISMS OF RIEMANN SURFACES WITH CONDITION (A)HIDALGO,RUBÉN A. Schottky groups Reimann surfaces conformal automorphisms In this note we consider a class of groups of conformal automorphisms of closed Riemann surfaces containing those which can be lifted to some Schottky uniformization. These groups are those which satisfy a necessary condition for the Schottky lifting property. We find that all these groups have upper bound 12(g - 1), where g <FONT FACE=Symbol>³</FONT> 2 is the genus of the surface. We also describe a sequence of infinite genera g1< g2 < ... for which these upper bound is attained. Also lower bounds are found, for instance, (i ) 4(g+1) for even genus and 8(g - 1) for odd genus. Also, for cyclic groups in such a family sharp upper bounds are giveninfo:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.20 n.2 20012001-08-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172001000200002en10.4067/S0716-09172001000200002
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Schottky groups Reimann surfaces conformal automorphisms
spellingShingle	Schottky groups Reimann surfaces conformal automorphisms HIDALGO,RUBÉN A. BOUNDS FOR CONFORMAL AUTOMOMORPHISMS OF RIEMANN SURFACES WITH CONDITION (A)
description	In this note we consider a class of groups of conformal automorphisms of closed Riemann surfaces containing those which can be lifted to some Schottky uniformization. These groups are those which satisfy a necessary condition for the Schottky lifting property. We find that all these groups have upper bound 12(g - 1), where g <FONT FACE=Symbol>³</FONT> 2 is the genus of the surface. We also describe a sequence of infinite genera g1< g2 < ... for which these upper bound is attained. Also lower bounds are found, for instance, (i ) 4(g+1) for even genus and 8(g - 1) for odd genus. Also, for cyclic groups in such a family sharp upper bounds are given
author	HIDALGO,RUBÉN A.
author_facet	HIDALGO,RUBÉN A.
author_sort	HIDALGO,RUBÉN A.
title	BOUNDS FOR CONFORMAL AUTOMOMORPHISMS OF RIEMANN SURFACES WITH CONDITION (A)
title_short	BOUNDS FOR CONFORMAL AUTOMOMORPHISMS OF RIEMANN SURFACES WITH CONDITION (A)
title_full	BOUNDS FOR CONFORMAL AUTOMOMORPHISMS OF RIEMANN SURFACES WITH CONDITION (A)
title_fullStr	BOUNDS FOR CONFORMAL AUTOMOMORPHISMS OF RIEMANN SURFACES WITH CONDITION (A)
title_full_unstemmed	BOUNDS FOR CONFORMAL AUTOMOMORPHISMS OF RIEMANN SURFACES WITH CONDITION (A)
title_sort	bounds for conformal automomorphisms of riemann surfaces with condition (a)
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2001
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172001000200002
work_keys_str_mv	AT hidalgorubena boundsforconformalautomomorphismsofriemannsurfaceswithconditiona
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BOUNDS FOR CONFORMAL AUTOMOMORPHISMS OF RIEMANN SURFACES WITH CONDITION (A)

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