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 ; Versió publicada
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 2014-4350

Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/140647
DOI: 10.5565/PUBLMAT_53109_03

10 p, 139.2 KB

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