2 papers
math.NT2007
Computation of the cover of Shimura curves for the cyclic cubic field of discriminant 13^2
Emmanuel Hallouin
We compute the canonical model of the cover of Shimura curves for the cubic field of discriminant 13^2 described at the end of Elkies' paper "Shimura curves for l…
math.NT2002
Computation of some Moduli Spaces of covers and explicit S_n and A_n regular Q(T)-extensions with totally real fibers
Emmanuel Hallouin, Emmanuel Riboulet-Deyris
We study and compute an infinite family of Hurwitz spaces parameterizing covers of P_C branched at four points and deduce explicit regular S_n and A_n-extensions over Q(T) with tot…