On Riemann surfaces of genus g with 4g automorphisms

Bujalance, Emilio, Costa González, Antonio F. y Izquierdo Barrios, Milagros . (2016) On Riemann surfaces of genus g with 4g automorphisms. eprint arXiv:1604.03421, 1-25

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Título On Riemann surfaces of genus g with 4g automorphisms
Autor(es) Bujalance, Emilio
Costa González, Antonio F.
Izquierdo Barrios, Milagros
Materia(s) Matemáticas
Abstract We determine, for all genus g 2 the Riemann surfaces of genus g with exactly 4g automorphisms. For g 6= 3; 6; 12; 15 or 30, this sur- faces form a real Riemann surface Fg in the moduli space Mg: the Riemann sphere with three punctures. We obtain the automorphism groups and extended automorphism groups of the surfaces in the fam- ily. Furthermore we determine the topological types of the real forms of real Riemann surfaces in Fg. The set of real Riemann surfaces in Fg consists of three intervals its closure in the Deligne-Mumford com- pacti…cation of Mg is a closed Jordan curve. We describe the nodal surfaces that are limits of real Riemann surfaces in Fg.
Palabras clave geometría
Fecha 2016-04-01
Formato application/pdf
Identificador bibliuned:DptoMF-FCIE-Articulos-Acosta-5005
http://e-spacio.uned.es/fez/view/bibliuned:DptoMF-FCIE-Articulos-Acosta-5005
Nombre de la revista eprint arXiv:1604.03421
Página inicial 1
Página final 25
Publicado en la Revista eprint arXiv:1604.03421, 1-25
Idioma eng
Versión de la publicación publishedVersion
Tipo de recurso Article
Derechos de acceso y licencia http://creativecommons.org/licenses/by-nc-nd/4.0
info:eu-repo/semantics/openAccess
Tipo de acceso Acceso abierto
Notas adicionales 2000 Mathematics Subject Classi…cation: Primary 30F10; Secondary 14H15, 30F60.

 
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Creado: Sat, 21 May 2016, 00:54:10 CET