On the eigencurve at classical weight 1 points Page 1 ON THE EIGENCURVE AT CLASSICAL
WEIGHT 1 POINTS JOËL BELLAÏCHE and MLADEN DIMITROV Abstract We show that the …

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 main purpose of this note is to provide an algorithm for approximating the value of the
balanced p-adic L-function, as constructed in [Hsi21], at the point (2, 1, 1), which is lying …

The aim of this chapter is to explain how one can obtain information regarding the
membership of a classical weight one eigenform in a Hida family from the geometry of the …

On montre que la variété de Hecke associée aux formes de Hilbert sur un corps totalement
réel F est lisse aux points correspondant à certaines séries thêta de poids 1 et on donne …

For a profinite group $ G $ and a rigid analytic space $ X $, we study when an $\mathcal
O_X (X) $-linear representation $ V $ of $ G $ admits a lattice, ie an $\mathcal O_ {\mathcal …

Galois level and congruence ideal for p-adic families of finite slope Siegel modular forms Page
1 Galois level and congruence ideal for p-adic families of finite slope Siegel modular forms …

The main purpose of this thesis is to provide an algorithm for approximating the value of the
balanced p-adic L-function, as constructed in [Hsi21], at the point (2, 1, 1) which lies outside …

Let $ p $ be an odd prime. We study the structure of the cyclotomic Greenberg-Selmer group
attached to a general irreducible Artin motive over $\mathbb {Q} $ endowed with an ordinary …