17 citations · 60 across the 27 of their papers we have counts for
30 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 through Galois Representations
Lea Terracini
The Bogomolov property \B for an algebraic extension of \(\QQ\) asserts the existence of a uniform positive lower bound for the absolute logarithmic Weil height outside the group o…
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…
If a machine did it, it is probably transcendental (even -adically)
Laura Capuano, Sara Checcoli, Marzio Mula +1
Continued fraction expansions provide a well-established bridge between algebraic properties of numbers and combinatorics on words. In this article, we investigate the algebraicity…
Bogomolov property for Galois representations with big local image
Andrea Conti, Lea Terracini
An algebraic extension of the rational numbers is said to have the (B) if the absolute logarithmic Weil height of its non-torsion elements is uniforml…
Bogomolov property and Galois representations
Francesco Amoroso, Lea Terracini
In 2013 P. Habegger proved the Bogomolov property for the field generated over Q by the torsion points of a rational elliptic curve. We explore the possibility of applying the same…