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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. New York journal of mathematics (21). pp. 1295-1310.

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Official URL: http://edoc.unibas.ch/40391/

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Abstract

Let k be an algebraically closed field of characteristic zero. Let K be the rational function field K=k(t). Let ϕ be a nonisotrivial rational function in K(z). We prove a bound for the cardinality of the set of K-rational preperiodic points for ϕ in terms of the number of places of bad reduction and the degree d of ϕ.
Faculties and Departments:05 Faculty of Science > Departement Mathematik und Informatik > Mathematik > Zahlentheorie (Habegger)
UniBasel Contributors:Canci, Jung Kyu
Item Type:Article, refereed
Article Subtype:Research Article
Publisher:European Mathematical Society
ISSN:1076-9803
Note:Publication type according to Uni Basel Research Database: Journal article
Language:English
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Last Modified:30 Jun 2016 11:01
Deposited On:28 Apr 2016 14:43

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