Sur la dynamique p-adique arithmétique des automorphismes de l'espace affine

Details Sur la dynamique p-adique arithmétique des automorphismes de l'espace affine Sur la dynamique p-adique arithmétique des automorphismes de l'espace affine

2003-10-27

arxiv.org/abs/math/0310417v2

Mathematics

Number Theory

Scientific paper

We show that the set of periods of an automorphism of the affine plane
defined over a $p$-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.

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