Canci, Jung Kyu. (2010) Rational periodic points for quadratic maps. Annales de l'Institut Fourier, 60 (3). p. 33.
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Official URL: http://edoc.unibas.ch/51692/
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Abstract
Let K be a number field. Let S be a finite set of places of K containing all the archimedean ones. Let R S be the ring of Sintegers of K. In the present paper we consider endomorphisms of ℙ 1 of degree 2, defined over K, with good reduction outside S. We prove that there exist only finitely many such endomorphisms, up to conjugation by PGL 2 (R S ), admitting a periodic point in ℙ 1 (K) of order >3. Also, all but finitely many classes with a periodic point in ℙ 1 (K) of order 3 are parametrized by an irreducible curve.
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:  Institut Fourier 
ISSN:  03730956 
eISSN:  17775310 
Note:  Publication type according to Uni Basel Research Database: Journal article 
Identification Number: 

Last Modified:  29 Nov 2017 10:02 
Deposited On:  29 Nov 2017 10:02 
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