most citedGéométrie, points rationnels et itérés des automorphismes de l'espace affine

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math.NT2003★ 1 cited

Géométrie, points rationnels et itérés des automorphismes de l'espace affine

Sandra Marcello

We study over a number field, the iterates of automorphisms of the affine space. More precisely, we are interested in the periodic and non-periodic points; for the former the quest…

math.NT2003

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

Sandra Marcello

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 fro…