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arxiv: 0801.3643 · v2 · submitted 2008-01-23 · 🧮 math.NT · math.DS

Dynatomic cycles for morphisms of projective varieties

classification 🧮 math.NT math.DS
keywords cyclesdynatomicmorphismsperiodicpointsprojectivevarietiesanalyze
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We prove the effectivity of the dynatomic cycles for morphisms of projective varieties. We then analyze the degrees of the dynatomic cycles and multiplicities of formal periodic points and apply these results to the existence of periodic points with arbitrarily large primitive periods.

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