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International Journal of Mathematics and Mathematical Sciences
Volume 2007, Article ID 47839, 29 pages
Research Article

Topological Classification of Conformal Actions on pq-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 Hindawi Publishing Corporation. 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 X of genus g>1 is said to be p-hyperelliptic if X admits a conformal involution ρ, for which X/ρ is an orbifold of genus p. If in addition X is q-hyperelliptic, then we say that X is pq-hyperelliptic. Here we study conformal actions on pq-hyperelliptic Riemann surfaces with central p- and q-hyperelliptic involutions.