Periodic points, linearizing maps, and the dynamical Mordell-Lang problem

Abstract

We prove a dynamical version of the Mordell-Lang conjecture for subvarieties of quasiprojective varieties X, endowed with the action of a morphism f:X --> X. We use an analytic method based on the technique of Skolem, Mahler, and Lech, along with results of Herman and Yoccoz from nonarchimedean dynamics.

14 pages

References in corpus (3)

• Questions on self maps of algebraic varieties
• p-adic logarithms for polynomial dynamics
• Mordell-Lang and Skolem-Mahler-Lech theorems for endomorphisms of semiabelian varieties