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

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

JournalArticle (Originalarbeit in einer wissenschaftlichen Zeitschrift)

ID	3720357
Author(s)	Canci, Jung Kyu; Paladino, Laura
Author(s) at UniBasel	Canci, Jung Kyu ,
Year	2016
Title	Preperiodic points for rational functions defined over a global field in terms of good reduction
Journal	Proceedings of the American Mathematical Society
Volume	144
Number	12
Pages / Article-Number	5141-5158
Keywords	Rational functions, periodic points, global fields
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.
Publisher	American Mathematical Society
ISSN/ISBN	0002-9939 ; 1088-6826
edoc-URL	http://edoc.unibas.ch/53276/
Full Text on edoc	No
Digital Object Identifier DOI	10.1090/proc/13096
ISI-Number	WOS:000386136300013
Document type (ISI)	Article

27/04/2024

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