A sufficiently complicated noded Schottky group of rank three

dc.creator	Hidalgo, Rubén A.
dc.date	2020-04-17
dc.identifier	http://revistas.ufro.cl/ojs/index.php/cubo/article/view/2255
dc.identifier	10.4067/S0719-06462020000100039
dc.description	In 1974, Marden proved the existence of non-classical Schottky groups by a theoretical and non-constructive argument. Explicit examples are only known in rank two; the first one by Yamamoto in 1991 and later by Williams in 2009. In 2006, Maskit and the author provided a theoretical method to construct non-classical Schottky groups in any rank. The method assumes the knowledge of certain algebraic limits of Schottky groups, called sufficiently complicated noded Schottky groups. The aim of this paper is to provide explicitly a sufficiently complicated noded Schottky group of rank three and explain how to use it to construct explicit non-classical Schottky groups.	en-US
dc.format	application/pdf
dc.language	eng
dc.publisher	Universidad de La Frontera. Temuco, Chile.	en-US
dc.relation	http://revistas.ufro.cl/ojs/index.php/cubo/article/view/2255/1938
dc.rights	https://creativecommons.org/licenses/by-nc/4.0	en-US
dc.source	CUBO, A Mathematical Journal; Vol. 22 No. 1 (2020); 39–53	en-US
dc.source	CUBO, A Mathematical Journal; Vol. 22 Núm. 1 (2020); 39–53	es-ES
dc.source	0719-0646
dc.source	0716-7776
dc.subject	Riemann surfaces	en-US
dc.subject	Schottky groups	en-US
dc.title	A sufficiently complicated noded Schottky group of rank three	en-US
dc.type	info:eu-repo/semantics/article
dc.type	info:eu-repo/semantics/publishedVersion