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Displaying similar documents to “Rational periodic points for degree two polynomial morphisms on projective space”

A criterion for potentially good reduction in nonarchimedean dynamics

Robert L. Benedetto (2014)

Acta Arithmetica

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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.