Given a closed Riemann surface S together a group of its conformal automorphisms H ≅ Z2 2, it is known that there are Schottky uniformizations of S realizing H. In this note we proceed to give an explicit Schottky uniformizations for each of all different topological actions of Z2 2 as group of conformal automorphisms on a closed Riemann surface.
@article{urn:eudml:doc:44444, title = {Schottky uniformizations of Z2 2 actions on Riemann surfaces.}, journal = {Revista Matem\'atica de la Universidad Complutense de Madrid}, volume = {18}, year = {2005}, pages = {427-453}, zbl = {1088.30036}, mrnumber = {MR2166518}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:44444} }
Hidalgo, Rubén A. Schottky uniformizations of Z2 2 actions on Riemann surfaces.. Revista Matemática de la Universidad Complutense de Madrid, Tome 18 (2005) pp. 427-453. http://gdmltest.u-ga.fr/item/urn:eudml:doc:44444/