Cyclotomic torsion points in elliptic schemes
Number Theory
2018-02-08 v1
Abstract
An elliptic curve defined over a number field possesses only a finite number of torsion points defined over the cyclotomic closure of its field of definition. In analogy to the relative version of the Manin-Mumford conjecture stated by Masser and Zannier, we propose a family version of the above statement and prove it under a suitable integrality condition.
Cite
@article{arxiv.1802.02386,
title = {Cyclotomic torsion points in elliptic schemes},
author = {Michele Giacomini},
journal= {arXiv preprint arXiv:1802.02386},
year = {2018}
}