Home > Articles > Published articles > On fixed points of automorphisms of non-orientable unbordered Klein surfaces |
Date: | 2009 |
Abstract: | 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 --> X/G, which corresponds to the so called universal covering transformation group. In these terms, for the case of a cyclic group of automorphisms of an unbordered non-orientable Klein surface, the formula was given later by Izquierdo and Singerman and here we find formulas valid for an arbitrary (finite) group G of automorphisms. |
Rights: | Tots els drets reservats. |
Language: | Anglès |
Document: | Article ; recerca ; Versió publicada |
Subject: | Automorphisms of Riemann and Klein surfaces ; Fixed-point set ; Fuchsian and NEC-groups ; Uniformization |
Published in: | Publicacions matemàtiques, V. 53 n. 1 (2009) p. 73-82, ISSN 2014-4350 |
10 p, 139.2 KB |