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
Restricted to Repository staff only until 31 December 2020.
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.
|Uncontrolled Keywords:||Automorphisms of Riemann surfaces – symmetries – Singerman symmetries – ovals – Fuchsian groups – Belyi surfaces – real forms|
|Subjects:||Sciences > Mathematics > Group Theory|
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|Deposited On:||03 Jul 2012 12:32|
|Last Modified:||03 Jul 2012 12:32|
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