A criterion for potentially good reduction in nonarchimedean dynamics

• Autorzy: Robert L. Benedetto
• Języki publikacji: EN

Abstrakty

EN

Let K be a nonarchimedean field, and let ϕ ∈ K(z) be a polynomial or rational function of degree at least 2. We present a necessary and sufficient condition, involving only the fixed points of ϕ and their preimages, that determines whether or not the dynamical system ϕ: ℙ¹ → ℙ¹ has potentially good reduction.

Kategorie tematyczne

• 11S82: Non-Archimedean dynamical systems \SeeMainly{}
• 37P05: Polynomial and rational maps
• 37P20: Non-Archimedean local ground fields

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 2014
• Tom: 165
• Numer: 3
• Strony: 251-256

Daty

wydano

2014

Twórcy

autor

Robert L. Benedetto

• Department of Mathematics and Statistics, Amherst College, Amherst, MA 01002, U.S.A.

Identyfikatory

DOI

10.4064/aa165-3-4