RT Journal Article
T1 Fuchsian groups generated by half-turns and geometrical characterization of hyperelliptic and symmetric Riemann surfaces
A1 Etayo Gordejuela, José Javier
A1 Martínez García, Ernesto
AB We construct a special type of fundamental regions for any Fuchsian group $F$ generated, by an even number of half-turns, and for certain non-Euclidean crystallographic groups (NEC groups in short). By comparing these regions we give geometrical conditions for F to be the canonical Fuchsian subgroup of one of those NEC groups. Precisely speaking, we deal with NEC groups of algebraic genus 0 having all periods in the signature equal to 2. By means of these conditions we give a characterization of hyperelliptic and symmetric Riemann surfaces.
PB Matematisk Institut, Universitetsparken NY Munkegade
SN 0025-5521
YR 2004
FD 2004
LK https://hdl.handle.net/20.500.14352/50028
UL https://hdl.handle.net/20.500.14352/50028
DS Docta Complutense
RD 5 abr 2025