Computing the Field of Moduli of the KFT family*

 

Rubén A. Hidalgo
U. Técnica Federico Santa Maria, Chile

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ABSTRACT

The computation of the field of moduli of a given closed Riemann surface is in general a very difficult task. In this note we consider the family of closed Riemann surfaces of genus three admitting the symmetric group in four letters as a group of conformai automorphisms and we provide the computations of the corresponding field of moduli.

Subjclass [2010] : 30F10, 14H37, I4H45, 14Q05.

*Partially supported by project Fondecyt 1110001 and UTFSM 12.13.01

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Rubén Hidalgo
Departamento de Matemaitica, Universidad Tecnica Federico Santa María, Casilla 110-V, Valparaiso
e-mail : ruben.hidalgo@usm.cl

Received : May 2012. Accepted : October 2013.