We study and compute an infinite family
of Hurwitz spaces parameterizing covers of P
branched at four points and deduce explicit
regular Sn and An-extensions over Q(T) with
totally real fibers.
Univerité de Toulouse II, le Mirail Département Mathématiques - Informatique (Equipe G.R.I.M.M.) 5, Allées Antonio-Machado 31058 Toulouse Cedex 9 France
Univerité de Toulouse II, le Mirail Département Mathématiques - Informatique (Equipe G.R.I.M.M.) 5, Allées Antonio-Machado 31058 Toulouse Cedex 9 France