Some Hecke curves embed in the Colmez space. (Quelques courbes de Hecke se plongent dans l’espace de Colmez.) (French) Zbl 1235.11051
Summary: Let \(p\) be a prime, \(\mathcal C\) the \(p\)-adic eigencurve (with tame level 1) and \(\widetilde{\mathcal Z(U_p)}\) 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 \(\mathcal C \to \widetilde{\mathcal Z(U_p)}\) is a rigid-analytic isomorphism.
MSC:
| 11F80 | Galois representations |
| 11F33 | Congruences for modular and \(p\)-adic modular forms |
| 11F85 | \(p\)-adic theory, local fields |
| 14G22 | Rigid analytic geometry |
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