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On fixed points of automorphisms of non-orientable unbordered Klein surfaces
Gromadzki, G. (University of Gdánsk (Polònia). Institute of Mathematics)

Data: 2009
Resum: 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.
Drets: Tots els drets reservats.
Llengua: Anglès.
Document: article ; recerca ; publishedVersion
Matèria: Automorphisms of Riemann and Klein surfaces ; Fixed-point set ; Fuchsian and NEC-groups ; Uniformization
Publicat a: Publicacions Matemàtiques, V. 53 n. 1 (2009) p. 73-82, ISSN 0214-1493

DOI: 10.5565/PUBLMAT_53109_03

10 p, 139.2 KB

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