论文标题
单轨轨道中有界高度的计数点
Counting points of bounded height in monoid orbits
论文作者
论文摘要
给定$ \ mathbb {p}^n $上的一组内态性，我们在相关的单齿轨道中的有界高度点数上建立了一个上限。此外，当单体自由时，我们给出了更精致的估计，并具有相关的下限。最后，我们表明，一个变量中的大多数合理函数都满足了这些更精致的界限。
Given a set of endomorphisms on $\mathbb{P}^N$, we establish an upper bound on the number of points of bounded height in the associated monoid orbits. Moreover, we give a more refined estimate with an associated lower bound when the monoid is free. Finally, we show that most sets of rational functions in one variable satisfy these more refined bounds.
