most citedLissite de la courbe de Hecke de GL(2) aux points Eisenstein critiques

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math.NT20045 cited

Lissite de la courbe de Hecke de GL(2) aux points Eisenstein critiques

Joel Bellaiche, Gaetan Chenevier

Let p be a prime number and C be the p-adic tame level 1 eigencurve introduced by Coleman-Mazur. We prove that C is smooth at the evil Eisenstein points and we give necessary and s…

math.NT20042 cited

Converging sequences of p-adic Galois representations and density theorems

Joel Bellaiche, Gaetan Chenevier, Chandrashekhar Khare +1

We consider limits of p-adic Galois representations, study different notions of convergence for such representations, and prove Cebotarev-type density theorems for them.

math.NT2003

Sur la compatibilite entre les correspondances de Langlands locale et globale pour U(3). (On the compatibility between local and global Langlands correspondances for U(3))

Joel Bellaiche

Using a level-raising argument (and a result of Larsen on the image of Galois representations in compatible systems), we prove that for any automorphic representation for $\U(3…

math.NT20031 cited

Augmentation du niveau pour U(3) (Level-Raising for U(3))

Joel Bellaiche, Philippe Graftieaux

We prove, for the form of unitary group in three variables attached to a CM extension which is compact at infinity, a level-raising theorem analogous to the one of Taylor (inv. mat…

math.NT2002

Representations non temperees pour U(3) et conjectures de Bloch-Kato

Joel Bellaiche, Gaetan Chenevier

We use -adic families of automorphic forms for an unitary group in three variables, containing some non-tempered forms constructed by Rogawski, to prove some cases of the Bloch-…