Quelques courbes de Hecke se plongent dans l'espace de Colmez
classification
🧮 math.NT
keywords
blow-upcolmezcourbesdanseigencurveespacefredholmhecke
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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 U_p - 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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