Rational functions with only real periodic points

Rational functions with only real periodic points

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 whos...

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Hauptverfasser: Kozhasov, Khazhgali, Kummer, Mario
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Algebraic Geometry
Mathematics - Dynamical Systems
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Zusammenfassung: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.
DOI:10.48550/arxiv.2004.10003