Topological Classification of Conformal Actions on <mml:math id="E1" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>p</mml:mi><mml:mi>q</mml:mi></mml:mrow></mml:math>-Hyperelliptic Riemann Surfaces

Tyszkowska, Ewa

doi:https://doi.org/10.1155/2007/47839

International Journal of Mathematics and Mathematical Sciences

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Research Article | Open Access

Volume 2007 | Article ID 047839 | https://doi.org/10.1155/2007/47839

Topological Classification of Conformal Actions on pq-Hyperelliptic Riemann Surfaces

Ewa Tyszkowska¹

Academic Editor: Lokenath Debnath

Received06 Oct 2005

Revised16 Nov 2006

Accepted26 Nov 2006

Published22 Feb 2007

Abstract

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.

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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.

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