Rigidity and unlikely intersections for formal groups

2018/11/14 by Berger, Laurent
#11F80 #11S31 #11S82 #13J05 #37P35 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1811.05824

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.

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