Bounds for conformal automorphisms of riemann surfaces with condition (A)

dc.creator	Hidalgo, Rubén A.
dc.date	2017-04-24
dc.identifier	http://www.revistaproyecciones.cl/article/view/1505
dc.identifier	10.4067/S0716-09172001000200002
dc.description	In this note we consider a class of groups of conformal automorphisms of closed Riemann surfaces containing those which can be lifted to some Schottky uniformization. These groups are those which satisfy a necessary condition for the Schottky lifting property. We find that all these groups have upper bound 12(g − 1), where g ≥ 2 is the genus of the surface. We also describe a sequence of infinite genera g1 < g2 < · · · for which these upper bound is attained. Also lower bounds are found, for instance, (i) 4(g+1) for even genus and 8(g−1) for odd genus. Also, for cyclic groups in such a family sharp upper bounds are given.	es-ES
dc.format	application/pdf
dc.language	spa
dc.publisher	Universidad Católica del Norte.	es-ES
dc.relation	http://www.revistaproyecciones.cl/article/view/1505/1283
dc.rights	Derechos de autor 2001 Proyecciones. Journal of Mathematics	es-ES
dc.source	Proyecciones. Journal of Mathematics; Vol 20 No 2 (2001); 139-175	en-US
dc.source	Proyecciones. Revista de Matemática; Vol. 20 Núm. 2 (2001); 139-175	es-ES
dc.source	0717-6279
dc.source	0716-0917
dc.title	Bounds for conformal automorphisms of riemann surfaces with condition (A)	es-ES
dc.type	info:eu-repo/semantics/article
dc.type	info:eu-repo/semantics/publishedVersion
dc.type	Artículo revisado por pares	es-ES