Finite orbits for rational functions

dc.creatorCanci, J. K.
dc.date2005-12-14
dc.date2006-07-24
dc.date.accessioned2026-07-07T06:55:18Z
dc.date.available2026-07-07T06:55:18Z
dc.descriptionLet $K$ be a number field and $ϕ\in K(z)$ 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 length of finite orbits of $ϕ$ in $\mathbb{P}_1(K)$ depending only on the cardinality of $S$.
dc.description13 pages. Changed content
dc.identifierhttps://arxiv.org/abs/math/0512338
dc.identifierhttp://arxiv.org/abs/math/0512338
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/106236
dc.subjectNumber Theory
dc.subjectDynamical Systems
dc.subject11G99 (Primary) 14E05 (Secondary)
dc.titleFinite orbits for rational functions
dc.typetext

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