# Preperiodic points for rational functions defined over a rational function field of characteristic zero

Canci, Jung Kyu. (2015) Preperiodic points for rational functions defined over a rational function field of characteristic zero. Preprints Fachbereich Mathematik, 2015 (38).

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Official URL: https://edoc.unibas.ch/70003/

## Abstract

Let k be an algebraic closed field of characteristic zero. Let K be the rational function field K = k(t). Let $\phi$ be a non–isotrivial rational function in K(z). We prove a bound for the cardinality of the set of K–rational preperiodic points for $\phi$ in terms of the number of places of bad reduction and the degree d of $\phi$.
Faculties and Departments: 05 Faculty of Science > Departement Mathematik und Informatik > Mathematik > Zahlentheorie (Habegger)12 Special Collections > Preprints Fachbereich Mathematik Canci, Jung Kyu Preprint Universität Basel English 10.5451/unibas-ep70003 07 May 2019 15:41 28 Mar 2019 09:51

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