A non-archimedean Montel's theorem

Mathematics – Algebraic Geometry

Scientific paper

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29 pages, minor modifications, to appear in Compositio

Scientific paper

We prove a version of Montel's theorem for analytic functions over a
non-archimedean complete valued field. We propose a definition of normal family
in this context, and give applications of our results to the dynamics of
non-archimedean entire functions.

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