Non-Archimedean Big Picard Theorems
Algebraic Geometry
2007-05-23 v1 Complex Variables
Number Theory
Abstract
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.
Cite
@article{arxiv.math/0207081,
title = {Non-Archimedean Big Picard Theorems},
author = {William Cherry},
journal= {arXiv preprint arXiv:math/0207081},
year = {2007}
}
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