If G is a group of automorphisms that acts properly discontinuously on a Riemann or Klein surface X, then there exists a unique structure of Riemann or Klein surface on X/G such that the projection π: X → X/G is a morphism. The analogous result is not true when we deal with surfaces with nodes. In this paper we give a new definition of a group that acts properly discontinuously on a surface with nodes in order to obtain a similar theorem.
@article{urn:eudml:doc:40881,
title = {Riemann and Klein surfaces with nodes viewed as quotients.},
journal = {Revista Matem\'atica de la Universidad Complutense de Madrid},
volume = {19},
year = {2006},
pages = {145-159},
zbl = {1103.30030},
mrnumber = {MR2219826},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:40881}
}
Garijo, Ignacio C. Riemann and Klein surfaces with nodes viewed as quotients.. Revista Matemática de la Universidad Complutense de Madrid, Tome 19 (2006) pp. 145-159. http://gdmltest.u-ga.fr/item/urn:eudml:doc:40881/