1 citations · 1 across the 2 of their papers we have counts for
6 papers
The eigencurve at crystalline points with scalar Frobenius and Gross-Stark regulators
Adel Betina, Alexandre Maksoud, Alice Pozzi
A complete description of the local geometry of the -adic eigencurve at -irregular classical weight one cusp forms is given in the cases where the usual methods fall sh…
CM congruence and trivial zeros of the Katz -adic -functions for CM fields
Adel Betina, Ming-Lun Hsieh
The aim of this paper is to investigate the trivial zeros of the Katz -adic -functions by the CM congruence. We prove the existence of trivial zeros of the Katz -adic -…
A geometric view on Iwasawa theory
Adel Betina, Mladen Dimitrov
This article extends our study of the geometry of the -adic eigencurve at a point defined by a weight cuspform irregular at and having complex multiplication, and th…
Geometry of the eigencurve at CM points and trivial zeros of Katz -adic -functions
Adel Betina, Mladen Dimitrov
The primary goal of this paper is to investigate the geometry of the -adic eigencurve at a point corresponding to a weight one cuspidal theta series irregular at the prime n…
On Siegel eigenvarieties at Saito-Kurokawa points
Tobias Berger, Adel Betina
We study the geometry of the -adic Siegel eigenvariety of paramodular tame level at certain Saito-Kurokawa points having a critical slope. For let b…
On the Hilbert eigenvariety at exotic and CM classical weight 1 points
Adel Betina, Shaunak V. Deo, Francesc Fité
Let be a totally real number field and let be a classical cuspidal -regular Hilbert modular eigenform over of parallel weight . Let be the point on the -ad…