Growth rate of ample heights and the dynamical Mordell-Lang type conjecture
arXiv:1801.02831 · doi:10.1142/S1793042118501610
Abstract
We provide an explicit formula on the growth rate of ample heights of rational points under iteration of endomorphisms on smooth projective varieties over number fields. As an application, we give a positive answer to a problem of Dynamical Mordell-Lang type for pairs of étale endomorphisms, which is a variant of the original one stated by Bell, Ghioca, and Tucker in their monograph.
14 pages