Dynatomic cycles for morphisms of projective varieties

2008/01/23 by Benjamin Hutz, Hutz, Benjamin
Mathematics · #Dynamical Systems (math.DS) #FOS: Mathematics #Number Theory (math.NT) #math.DS #math.NT

paper · pdf · doi:10.48550/arxiv.0801.3643

arxiv created 2008/10/22 · arxiv updated 2009/12/01

Abstract

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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