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Preperiodic points for rational functions defined over a global field in terms of good reduction

Canci, Jung Kyu and Paladino, Laura. (2015) Preperiodic points for rational functions defined over a global field in terms of good reduction. Preprints Fachbereich Mathematik, 2015 (37).

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Abstract

Let $\phi$ be an endomorphism of the projective line defined over a global field K. 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. The result is completely new in the function field case and it is an improvement of the number field case.
Faculties and Departments:05 Faculty of Science > Departement Mathematik und Informatik > Mathematik > Zahlentheorie (Habegger)
12 Special Collections > Preprints Fachbereich Mathematik
UniBasel Contributors:Canci, Jung Kyu
Item Type:Preprint
Publisher:Universität Basel
Language:English
Last Modified:07 May 2019 15:43
Deposited On:28 Mar 2019 09:51

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