Etayo Gordejuela, J. Javier and Gromadzki, G. and Martínez García, Ernesto
*On real forms of Belyi surfaces with symmetric groups of automorphisms.*
Mediterranean journal of mathematics, 9
.
ISSN 1660-5446

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## Abstract

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.

Item Type: | Article |
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Uncontrolled Keywords: | Automorphisms of Riemann surfaces – symmetries – Singerman symmetries – ovals – Fuchsian groups – Belyi surfaces – real forms |

Subjects: | Sciences > Mathematics > Group Theory |

ID Code: | 15818 |

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Deposited On: | 03 Jul 2012 10:32 |

Last Modified: | 06 Feb 2014 10:32 |

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