# Riemann and Klein surfaces with nodes viewed as quotients.

Revista Matemática Complutense (2006)

- Volume: 19, Issue: 1, page 145-159
- ISSN: 1139-1138

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topGarijo, 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 -

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