International Journal of Mathematics and Mathematical Sciences
Volume 2007 (2007), Article ID 47839, 29 pages
Topological Classification of Conformal Actions on -Hyperelliptic Riemann Surfaces
Institute of Mathematics, University of Gdańsk, Wita Stwosza 57, Gdańsk 80 952, Poland
Received 6 October 2005; Revised 16 November 2006; Accepted 26 November 2006
Academic Editor: Lokenath Debnath
Copyright © 2007 Ewa Tyszkowska. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
A compact Riemann surface of genus is said to be -hyperelliptic if admits a conformal involution , for which is an orbifold of genus . If in addition is -hyperelliptic, then we say that is -hyperelliptic. Here we study conformal actions on -hyperelliptic Riemann surfaces with central - and -hyperelliptic involutions.