RT Journal Article
T1 On Compact Riemann Surfaces With Dihedral Groups Of Automorphisms
A1 Gamboa Mutuberria, José Manuel
A1 Bujalance, E.
A1 Cirre, F.J.
A1 Gromadzki, G.
AB We study compact Riemann surfaces of genus g  2 having a dihedral group of automorphisms. We find necessary and sufficient conditions on the signature of a Fuchsian group for it to admit a surface kernel epimorphism onto the dihedral group DN.The question of extendability of the action of DN is considered.We also give an explicit parametrization of the moduli space of Riemann surfaces with maximal dihedral symmetry, showing that it is a one-dimensional complex manifold.Defining equations of all such surfaces and the formulae of their automorphisms are calculated.The locus of this moduli space consisting of those surfaces admitting some real structure is determined.
PB Cambridge Univ
SN 0305-0041
YR 2003
FD 2003
LK https://hdl.handle.net/20.500.14352/57246
UL https://hdl.handle.net/20.500.14352/57246
LA eng
NO DGICYT PB98-0017;DGICYT PB98-0756.
DS Docta Complutense
RD 10 abr 2025