2 papers
math.NT2026
Bogomolov property for modular Galois representations with nontrivial nebentypus
Pietro Piras
A field in which the (logarithmic) Weil height is bounded from below by a strictly positive constant is said to have the Bogomolov property (property (B)). Given a normalized eigen…
math.NT2026
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…