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A remark on periodic points on varieties over a field of finite type over Q

Shu Kawaguchi
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Abstract

Let M be a field of finite type over {\bf Q} and X a variety defined over M. We study when the set {P \in X(K) \mid f^{\circ n} (P) = P for some n \geq 1} is finite for any finite extension fields K of M and for any dominant K-morphisms f : X \to X with deg f \geq 2.

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Shu Kawaguchi. 1999-05-12. A remark on periodic points on varieties over a field of finite type over Q. https://arxiv.org/abs/math/9905069

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