Riemann and Klein surfaces with nodes viewed as quotients.

Garijo, Ignacio C.. "Riemann and Klein surfaces with nodes viewed as quotients.." Revista Matemática Complutense 19.1 (2006): 145-159. <http://eudml.org/doc/40881>.

@article{Garijo2006,
abstract = {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.},
author = {Garijo, Ignacio C.},
journal = {Revista Matemática Complutense},
keywords = {Superficies Riemann; Superficies de Klein; Nodos; Grupos de automorfismos; Klein surfaces with nodes; Riemann surfaces with nodes; automorphism groups},
language = {eng},
number = {1},
pages = {145-159},
title = {Riemann and Klein surfaces with nodes viewed as quotients.},
url = {http://eudml.org/doc/40881},
volume = {19},
year = {2006},
}

TY - JOUR
AU - Garijo, Ignacio C.
TI - Riemann and Klein surfaces with nodes viewed as quotients.
JO - Revista Matemática Complutense
PY - 2006
VL - 19
IS - 1
SP - 145
EP - 159
AB - 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.
LA - eng
KW - Superficies Riemann; Superficies de Klein; Nodos; Grupos de automorfismos; Klein surfaces with nodes; Riemann surfaces with nodes; automorphism groups
UR - http://eudml.org/doc/40881
ER -