On Symmetries Of Compact Riemann Surfaces With Cyclic Groups Of Automorphisms
A Riemann surface X is said to be of type (n,m) if its full automorphism group AutX is cyclic of order n and the quotient surface X/AutX has genus m. In this paper we determine necessary and sufficient conditions on the integers n,m,g and γ, where n is odd, for the existence of a Riemann surface of...
| Autores: | , , , |
|---|---|
| Tipo de recurso: | artículo |
| Fecha de publicación: | 2006 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/49928 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/49928 |
| Access Level: | acceso abierto |
| Palabra clave: | 517.547, 515.172 Riemann surface automorphism group Fuchsian and nec groups symmetry ovals Funciones (Matemáticas) 1202 Análisis y Análisis Funcional |
| Sumario: | A Riemann surface X is said to be of type (n,m) if its full automorphism group AutX is cyclic of order n and the quotient surface X/AutX has genus m. In this paper we determine necessary and sufficient conditions on the integers n,m,g and γ, where n is odd, for the existence of a Riemann surface of genus g and type (n,m) admitting a symmetry with γ ovals. |
|---|