p-adic logarithms for polynomial dynamics

2007/05/28 by Ghioca, Dragos, Tucker, Thomas J.
#14K12 (Primary) #37F10 (Secondary) #Dynamical Systems (math.DS) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.0705.4047

Abstract

We prove a dynamical version of the Mordell-Lang conjecture for subvarieties of the affine space A^g over a p-adic field, endowed with polynomial actions on each coordinate of A^g. We use analytic methods similar to the ones employed by Skolem, Chabauty, and Coleman for studying diophantine equations.

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