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 |
|---|---|
| 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 12:32 |
| Last Modified: | 03 Jul 2012 12:32 |
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