Riemman and klein surfaces with nodes viewed as quotients

Autores: Ignacio C. Garijo
Localización: Revista matemática complutense, ISSN-e 1988-2807, ISSN 1139-1138, Vol. 19, Nº 1, 2006, págs. 145-159
Idioma: inglés
DOI: 10.5209/rev_rema.2006.v19.n1.16645
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Resumen
- If G is a group of automorphisms that acts properly discontinuously on a Riemann or Klein surface X, then there exists aunique structure of Riemann orKlein surface on X/G such that the projection p : X ? X/G is a morphism.The analogousresult is not true when we deal with surfaces with nodes. In thispaper we give a new definition of a group that acts properly discontinuously on a surface with nodes in order to obtain a similar theorem.