Non-Archimedean Big Picard Theorems

Mathematics – Algebraic Geometry

Scientific paper

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Scientific paper

A non-Archimedean analog of the classical Big Picard Theorem, which says that
a holomorphic map from the punctured disc to a Riemann surface of hyperbolic
type extends accross the puncture, is proven using Berkovich's theory of
non-Archimedean analytic spaces.

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