This book (1) takes place in a now thirty years long trend of researches, initiated by Ribet
([95]) aiming at constructing “arithmetically interesting” non trivial extensions between global …

Critical p-adic L-functions Page 1 Invent math (2012) 189:1–60 DOI 10.1007/s00222-011-0358-z
Critical p-adic L-functions Joël Bellaïche Received: 26 August 2010 / Accepted: 15 …

The values of the Dedekind–Rademacher cocycle at certain real quadratic arguments are
shown to be global p-units in the narrow Hilbert class field of the associated real quadratic …

The primary goal of this paper is to investigate the geometry of the p-adic eigencurve at a
point f corresponding to a weight one cuspidal CM theta series θ ψ irregular at the prime …

We prove that the cuspidal eigencurve $\scr {C} _ {{\rm cusp}} $ is\'etale over the weight
space at any classical weight $1 $ Eisenstein point $ f $ and meets two Eisenstein …

The classical theory of elliptic curves with complex multiplication is a fundamental tool for
studying the arithmetic of abelian extensions of imaginary quadratic fields. While no direct …

We present a comprehensive study of the geometry of Hilbert $ p $-adic eigenvarieties at
parallel weight one intersection points of their cuspidal and Eisenstein loci. The Galois …

The p-adic L-functions of evil Eisenstein series Page 1 The p-adic L-functions of evil
Eisenstein series Joël Bellaıche and Samit Dasgupta Compositio Math. 151 (2015), 999–1040 …

Ordinary modular forms and companion points on the eigencurve - ScienceDirect Skip to main
contentSkip to article Elsevier logo Journals & Books Search RegisterSign in View PDF …

Gaëtan CHENEVIER arXiv:1307.5170v1 [math.NT] 19 Jul 2013 Page 1 Mémoire d’habilitation
à diriger des recherches Soutenu le 29 Mars 2013 à l’université Paris XI Représentations …