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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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 |
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UniBasel Contributors: | Canci, Jung Kyu |
Item Type: | Preprint |
Publisher: | Universität Basel |
Language: | English |
edoc DOI: | |
Last Modified: | 07 May 2019 15:41 |
Deposited On: | 28 Mar 2019 09:51 |
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