2026-06-29T07:49:51Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/500282025-07-17T17:55:59Zcom_20.500.14352_14col_20.500.14352_15

Fuchsian groups generated by half-turns and geometrical characterization of hyperelliptic and symmetric Riemann surfaces Etayo Gordejuela, José Javier Martínez García, Ernesto 512.54 Fuchsian groups and automorphic functions Fuchsian groups and their generalizations Grupos (Matemáticas) 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. Depto. de Álgebra, Geometría y Topología Fac. de Ciencias Matemáticas TRUE pub 2023-06-20T09:36:42Z 2023-06-20T09:36:42Z 2004 journal article https://hdl.handle.net/20.500.14352/50028 0025-5521 metadata only access Matematisk Institut, Universitetsparken NY Munkegade