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arXiv · 1311.6695

A Criterion for Potentially Good Reduction in Non-archimedean Dynamics

Robert L. Benedetto
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Abstract

Let K be a non-archimedean field, and let f in 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 f and their preimages, that determines whether or not the dynamical system f on P^1 has potentially good reduction.

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Robert L. Benedetto. 2013-12-02. A Criterion for Potentially Good Reduction in Non-archimedean Dynamics. https://arxiv.org/abs/1311.6695

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