p-adic logarithms for polynomial dynamics

Details p-adic logarithms for polynomial dynamics p-adic logarithms for polynomial dynamics

2007-05-28

arxiv.org/abs/0705.4047v2

Mathematics

Number Theory

11 pages. The results of this preprint have been subsumed by those of the authors' more recent preprint "Periodic points, line

Scientific paper

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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