A remark on periodic points on varieties over a field of finite type over Q
Algebraic Geometry
2007-05-23 v1 Number Theory
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.
Cite
@article{arxiv.math/9905069,
title = {A remark on periodic points on varieties over a field of finite type over Q},
author = {Shu Kawaguchi},
journal= {arXiv preprint arXiv:math/9905069},
year = {2007}
}