p-adic logarithms for polynomial dynamics
Number Theory
2008-06-24 v2 Dynamical Systems
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.
Keywords
Cite
@article{arxiv.0705.4047,
title = {p-adic logarithms for polynomial dynamics},
author = {Dragos Ghioca and Thomas J. Tucker},
journal= {arXiv preprint arXiv:0705.4047},
year = {2008}
}