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arXiv:1311.6695 [math.NT]AbstractReferencesReviewsResources

A Criterion for Potentially Good Reduction in Non-archimedean Dynamics

Robert L. Benedetto

Published 2013-11-26, updated 2013-12-02Version 2

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.

Comments: 7 pages; typos corrected and a little extra commentary added
Categories: math.NT, math.DS
Subjects: 37P05
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