English

Bogomolov property and Galois representations

Number Theory 2025-06-11 v4

Abstract

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 strategy of proof to the case of field extensions fixed by the kernel of some modular Galois representations.

Cite

@article{arxiv.2403.03319,
  title  = {Bogomolov property and Galois representations},
  author = {Francesco Amoroso and Lea Terracini},
  journal= {arXiv preprint arXiv:2403.03319},
  year   = {2025}
}
R2 v1 2026-06-28T15:10:22.852Z