3 citations · 3 across the 4 of their papers we have counts for
4 papers
Small points in radical extensions of number fields
Andrea Conti, Ilaria Del Corso, Arnaud Plessis +1
We study small points in radical extensions of algebraic fields. Given an algebraic extension of , a finitely generated subgroup $Γ\subseteq \mathbb{F}^\ti…
The Bogomolov property for -supercuspidal eigenforms
Andrea Conti, Pietro Piras, Lea Terracini
We prove a lower bound on the Weil height, the so-called Bogomolov property, for the algebraic extensions of cut out by the adelic Galois representations attached to ce…
-adic rigidity of eigenforms of infinite slope
Andrea Conti
We give a notion of -adic families of Hecke eigenforms that allows for the slope of the forms be infinite at . We prove that, contrary to the case of finite slope when every…
Big image of Galois representations associated with finite slope -adic families of modular forms
Andrea Conti, Adrian Iovita, Jacques Tilouine
We consider the Galois representation associated with a finite slope -adic family of modular forms. We prove that the Lie algebra of its image contains a congruence Lie subalgeb…