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On real forms of Belyi surfaces with symmetric groups of automorphisms


Etayo Gordejuela, J. Javier y Gromadzki, G. y Martínez García, Ernesto (2012) On real forms of Belyi surfaces with symmetric groups of automorphisms. Mediterranean journal of mathematics, 9 (4). pp. 669-675. ISSN 1660-5446

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In virtue of the Belyi Theorem an algebraic curve can be defined over the algebraic numbers if and only if the corresponding Riemann surface can be uniformized by a subgroup of a Fuchsian triangle group. Such surfaces are known as Belyi surfaces. Here we study the actions of the symmetric groups S n on Belyi Riemann surfaces. We show that such surfaces are symmetric and we calculate the number of connected components of the corresponding real forms.

Tipo de documento:Artículo
Palabras clave:Automorphisms of Riemann surfaces – symmetries – Singerman symmetries – ovals – Fuchsian groups – Belyi surfaces – real forms
Materias:Ciencias > Matemáticas > Grupos (Matemáticas)
Código ID:15818

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Depositado:03 Jul 2012 10:32
Última Modificación:15 Sep 2015 08:38

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