On Field Generated by Division Points of Several Formal Groups
arXiv:1808.00401
Abstract
In this article we prove some interesting results on field generated by division points of several formal groups of same height, already implicit in the treatment in appendix-A of my M.Sc thesis (Points of Small Height in Certain Nonabelian Extensions). More precisely, under suitable hypothesis we show that the field generated by the division points of several formal groups is equal to the field generated by division points of an individual formal group among them, after a fixed finite unramified extension of base field.
It will be nice if any expert on Abelian varieties have a look at remark-3.3 and let me know his/her opinion