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On triangular (D>n)-actions on cyclic p-gonal Riemann surfaces

Tyszkowska E.

Opuscula Mathematica

2016

Vol. 36, no. 1

103--122

A compact Riemann surface X of genus g > 1 which has a conformal automorphism ρ of prime order p such that the orbit space X/(ρ) is the Riemann sphere is called cyclic p-gonal. Exceptional points in the moduli space Mg of compact Riemann surfaces of genus g are unique surface classes whose full group of conformal automorphisms acts with a triangular signature. We study symmetries of exceptional points in the cyclic p-gonal locus in Mg for which Aut(X)/(ρ is a dihedral group Dn.