On fixed points of automorphisms of non-orientable unbordered Klein surfaces

In 1973, Macbeath found a general formula for the number of points fixed by an arbitrary orientation preserving automorphism of a Riemann surface X. It was given in terms of a group G of conformal automorphisms of X and the ramification data of the covering X --.

Detalles Bibliográficos
Autor: Gromadzki, G.
Tipo de recurso: artículo
Fecha de publicación:2009
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:49600
Acceso en línea:https://ddd.uab.cat/record/49600
https://dx.doi.org/urn:doi:10.5565/PUBLMAT_53109_03
Access Level:acceso abierto
Palabra clave:Automorphisms of Riemann and Klein surfaces
Fixed-point set
Fuchsian and NEC-groups
Uniformization
Descripción
Sumario:In 1973, Macbeath found a general formula for the number of points fixed by an arbitrary orientation preserving automorphism of a Riemann surface X. It was given in terms of a group G of conformal automorphisms of X and the ramification data of the covering X --.