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

Tyszkowska E.

Opuscula Mathematica

2009

Vol. 29, no. 4

443-452

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 has genus p. A conformal automorphism δ of prime order n such that X/δ 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.