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

Abstract

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

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