Quelques courbes de Hecke se plongent dans l'espace de Colmez

Let p   be a prime, CC the p  -adic eigencurve (with tame level 1) and Z(Up)˜ the blow-up of the Fredholm hypersurface of the UpUp-operator at the special   points. We show that for p=2,3,5p=2,3,5 and 7, the natural mapC→Z(Up)˜ is a rigid-analytic isomorphism.