Rigidity and unlikely intersections for formal groups
Number Theory
2019-01-15 v2
Abstract
Let K be a p-adic field and let F and G be two formal groups over O_K. We prove that if F and G have infinitely many torsion points in common, then F=G. This follows from a rigidity result: any bounded power series that sends infinitely many torsion points of F to torsion points of F is an endomorphism of F.
Cite
@article{arxiv.1811.05824,
title = {Rigidity and unlikely intersections for formal groups},
author = {Laurent Berger},
journal= {arXiv preprint arXiv:1811.05824},
year = {2019}
}
Comments
v2: various clarifications. 8 pages