Finite orbits for rational maps

Canci, Jung Kyu. (2007) Finite orbits for rational maps. Indagationes Mathematicae , 18 (2). p. 12.

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Let K be a number field and φ ∈ K(z) a rational function. Let S be the set of all archimedean places of K and all non-archimedean places associated to the prime ideals of bad reduction for φ. We prove an upper bound for the length of finite orbits for φ in ℙ1 (K) depending only on the cardinality of S.
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
Note:Publication type according to Uni Basel Research Database: Journal article
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Last Modified:28 Nov 2017 08:32
Deposited On:28 Nov 2017 08:32

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