Sur la dynamique p-adique arithm\'etique des automorphismes de l'espace affine
Number Theory
2009-09-29 v2
Abstract
We show that the set of periods of an automorphism of the affine plane defined over a -adic field is bounded above by a constant independent from the automorphism. We deduce from this result a new proof in arithmetic dynamics of the Silverman's conjecture in dimension 2.
Keywords
Cite
@article{arxiv.math/0310417,
title = {Sur la dynamique p-adique arithm\'etique des automorphismes de l'espace affine},
author = {Sandra Marcello},
journal= {arXiv preprint arXiv:math/0310417},
year = {2009}
}