Bounding periods of subvarieties of (P1)n

Abstract

Using methods of p-adic analysis, along with the powerful result of Medvedev-Scanlon (Annals of Mathematics, 2014) for the classification of periodic subvarieties of (P1)n, we bound the length of the orbit of a periodic subvariety Y of (P1)n under the action of a dominant endomorphism.

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