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arxiv: 1712.02897 · v1 · pith:P6B6Y26Nnew · submitted 2017-12-08 · 🧮 math.NT · math.AG· math.DS

Bounding periods of subvarieties of (P¹)^n

classification 🧮 math.NT math.AGmath.DS
keywords periodicsubvarietiesactionalonganalysisannalsboundbounding
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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 (P^1)^n, we bound the length of the orbit of a periodic subvariety Y of (P^1)^n under the action of a dominant endomorphism.

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