TY  - JOUR
ID  - Tyszkowska2016
LB  - Tyszkowska2016
AU  - Tyszkowska, Ewa
TI  - On triangular (D<sub>n</sub>)-actions on cyclic p-gonal Riemann surfaces
ST  - On triangular (D<sub>n</sub>)-actions on cyclic p-gonal Riemann surfaces
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2016
VL  - 36
IS  - 1
SP  - 103
EP  - 122
DO  - http://dx.doi.org/10.7494/OpMath.2016.36.1.103
UR  - http://dx.doi.org/10.7494/OpMath.2016.36.1.103
AB  - 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 \(D_n\).
KW  - Riemann surface
KW  - symmetry
KW  - triangle group
KW  - Fuchsian group
KW  - NEC group
SN  - 1232-9274
ER  -