New York Journal of Mathematics
Volume 16 (2010) 125-159


Benjamin Hutz

Dynatomic cycles for morphisms of projective varieties

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Published: May 29, 2010
Keywords: periodic points, dynatomic polynomial, dynamical systems
Subject: 11G99, 14G99 (primary); 37F99 (secondary)

We prove the effectivity of the zero-cycles of formal periodic points, 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 minimal periods.

Author information

Department of Mathematics and Computer Science, Amherst College, Amherst, MA 01002 USA