Effectivity of Dynatomic cycles for morphisms of projective varieties using deformation theory

Details Effectivity of Dynatomic cycles for morphisms of projective varieties using deformation theory Effectivity of Dynatomic cycles for morphisms of projective varieties using deformation theory

2010-11-23

arxiv.org/abs/1011.5155v3

Mathematics

Number Theory

to appear Proceedings of the AMS

Scientific paper

Given an endomorphism of a projective variety, by intersecting the graph and the diagonal varieties we can determine the set of periodic points. In an effort to determine the periodic points of a given minimal period, we follow a construction similar to cyclotomic polynomials. The resulting zero-cycle is called a dynatomic cycle and the points in its support are called formal periodic points. This article gives a proof of the effectivity of dynatomic cycles for morphisms of projective varieties using methods from deformation theory.

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