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 dominantK-morphisms f : X \to X with deg f \geq 2.
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机译：设M为{\ bf Q}上的有限类型的字段，而X为M上定义的一个变数。我们研究当集合{P \ in X（K）\ mid f ^ {\ circ n}（P）= P对于M的任何有限扩展域K和任何主K态f：X \ to X带有度数f \ geq 2，n n \ geq 1}是有限的。
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