Canci, Jung Kyu and Paladino, Laura. (2016) Preperiodic points for rational functions defined over a global field in terms of good reduction. Proceedings of the American Mathematical Society, 144 (12). p. 18.
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Official URL: http://edoc.unibas.ch/53276/
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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 φ in terms of the number of places of bad reduction. The result is completely new in the function field case and is an improvement of the number field case.
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:  American Mathematical Society 
ISSN:  00029939 
eISSN:  10886826 
Note:  Publication type according to Uni Basel Research Database: Journal article 
Identification Number: 

Last Modified:  01 Nov 2017 10:47 
Deposited On:  01 Nov 2017 10:47 
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