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

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

2007-08-15

arxiv.org/abs/0708.2046v2

Mathematics

Number Theory

19 pages, french. Minor revisions

Scientific paper

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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