Topological Classification of Conformal Actions on p q -Hyperelliptic Riemann Surfaces

Ewa Tyszkowska

International Journal of Mathematics and Mathematical Sciences, 2007, vol. 2007, 1-29

Abstract:

A compact Riemann surface X of genus g > 1 is said to be p - hyperelliptic if X admits a conformal involution Ï , for which X / Ï is an orbifold of genus p . If in addition X is q -hyperelliptic, then we say that X is p q - hyperelliptic . Here we study conformal actions on p q -hyperelliptic Riemann surfaces with central p - and q -hyperelliptic involutions.

Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:047839

DOI: 10.1155/2007/47839

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