Growth rate of ample heights and the dynamical Mordell-Lang type conjecture (1801.02831v2)

Published 9 Jan 2018 in math.AG, math.DS, and math.NT

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 \'etale endomorphisms, which is a variant of the original one stated by Bell, Ghioca, and Tucker in their monograph.

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Authors (1)

Kaoru Sano

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