论文标题

仅具有实际周期点的理性功能

Rational functions with only real periodic points

论文作者

Kozhasov, Khazhgali, Kummer, Mario

论文摘要

我们研究仅具有真实周期点的平滑真实射击代数曲线的自我晶状。在投影线的情况下,我们提供了这种形态主义的方便表征。我们得出了真实纤维合理函数的组件的半分类描述,其周期性是真实的。

We study self-morphisms of smooth real projective algebraic curves that have only real periodic points. In the case of the projective line we provide a convenient characterization of such morphisms. We derive a semialgebraic description of the component of real fibered rational functions all of whose periodic points are real.

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