Opuscula Math. 29, no. 4 (2009), 443-452
http://dx.doi.org/10.7494/OpMath.2009.29.4.443

 
Opuscula Mathematica

Topological classification of conformal actions on p-hyperelliptic and (q,n)-gonal Riemann surfaces

Ewa Tyszkowska

Abstract. A compact Riemann surface \(X\) of genus \(g \gt 1\) is said to be \(p\)-hyperelliptic if \(X\) admits a conformal involution \(\rho\) for which \(X / \rho\) has genus \(p\). A conformal automorphism \(\delta\) of prime order \(n\) such that \(X / \delta\) has genus \(q\) is called a \((q,n)\)-gonal automorphism. Here we study conformal actions on \(p\)-hyperelliptic Riemann surface with \((q,n)\)-gonal automorphism.

Keywords: \(p\)-hyperelliptic Riemann surface, automorphism of a Riemann surface.

Mathematics Subject Classification: 30F20, 30F50, 14H37, 20H30, 20H10.

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Cite this article as:
Ewa Tyszkowska, Topological classification of conformal actions on p-hyperelliptic and (q,n)-gonal Riemann surfaces, Opuscula Math. 29, no. 4 (2009), 443-452, http://dx.doi.org/10.7494/OpMath.2009.29.4.443

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