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

Chong Gyu Lee

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arXiv · 1203.1224

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

Chong Gyu Lee

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Abstract

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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Chong Gyu Lee. 2012-03-07. The equidistribution of small point for strongly regular pairs of polynomial maps. https://arxiv.org/abs/1203.1224

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