@Article{Tyszkowska2016,
author = "Tyszkowska, Ewa",
title = "On triangular (D<sub>n</sub>)-actions on cyclic p-gonal Riemann surfaces",
journal = "Opuscula Math.",
year = "2016",
volume = "36",
number = "1",
pages = "103--122",
doi = "http://dx.doi.org/10.7494/OpMath.2016.36.1.103",
url = "http://dx.doi.org/10.7494/OpMath.2016.36.1.103",
abstract = "A compact Riemann surface \(X\) of genus \(g\gt 1\) which has a conformal automorphism \(\rho\) of prime order \(p\) such that the orbit space \(X/ \langle \rho \rangle \) is the Riemann sphere is called cyclic \(p\)-gonal. Exceptional points in the moduli space \(\mathcal{M}_g\) 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 \(\mathcal{M}_g\) for which \(\text{Aut}(X)/ \langle \rho \rangle\) is a dihedral group \(D_n\).",
keywords = "Riemann surface, symmetry, triangle group, Fuchsian group, NEC group",
issn = "1232-9274"
}