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arxiv: math/0207081 · v1 · submitted 2002-07-10 · 🧮 math.AG · math.CV· math.NT

Non-Archimedean Big Picard Theorems

classification 🧮 math.AG math.CVmath.NT
keywords non-archimedeanpicardaccrossanaloganalyticberkovichclassicaldisc
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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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