The equidistribution of small point for strongly regular pairs of polynomial maps

Details The equidistribution of small point for strongly regular pairs of polynomial maps The equidistribution of small point for strongly regular pairs of polynomial maps

2012-03-06

arxiv.org/abs/1203.1224v2

Mathematics

Number Theory

Scientific paper

In this paper, we prove the equidistribution of periodic points of a regular polynomial automorphism f : A^n -> A^n defined over a number field K: let f be a regular polynomial automorphism defined over a number field K and let v be a prime place. Then, there exists an f-invariant probability measure mu_{f,v}$ on Berkovich space of P^n(C_v) such that the set of periodic points of f is equidistributed with respect to mu_{f,v}. We will prove it by equidistribution of small points for strongly regular pair of polynomial maps.

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