dc.creator | Hidalgo, Rubén A. | |
dc.date | 2017-04-24 | |
dc.identifier | https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/1505 | |
dc.identifier | 10.4067/S0716-09172001000200002 | |
dc.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 ? 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. | es-ES |
dc.format | application/pdf | |
dc.language | spa | |
dc.publisher | Universidad Católica del Norte. | en-US |
dc.relation | https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/1505/1283 | |
dc.rights | Copyright (c) 2001 Proyecciones. Journal of Mathematics | en-US |
dc.source | Proyecciones (Antofagasta, On line); Vol. 20 No. 2 (2001); 139-175 | en-US |
dc.source | Proyecciones. Revista de Matemática; Vol. 20 Núm. 2 (2001); 139-175 | es-ES |
dc.source | 0717-6279 | |
dc.subject | Schottky groups | es-ES |
dc.subject | Riemann surfaces | es-ES |
dc.subject | Conformal automorphisms. | es-ES |
dc.title | Bounds for conformal automorphisms of riemann surfaces with condition (A) | es-ES |
dc.type | info:eu-repo/semantics/article | |
dc.type | info:eu-repo/semantics/publishedVersion | |
dc.type | Peer-reviewed Article | en-US |