A generalization of the big Picard theorem (Q1911162)
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scientific article; zbMATH DE number 866118
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A generalization of the big Picard theorem |
scientific article; zbMATH DE number 866118 |
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A generalization of the big Picard theorem (English)
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16 April 1996
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The purpose of this paper is to consider a generalisation of the big Picard theorem of Fujimoto's type for any holomorphic map \(f : \Delta^* \to P^2 \backslash A\), where \(\Delta^*\) is the punctured disk and \(A\) is a curve in \(P^2\) with 4 or more irreducible components in general position in a certain sense and for any meromorphic map \(f : N \backslash B \to P^2 \backslash A\), where \(N\) is an arbitrary manifold, \(B\) is a proper analytic subset of \(N\).
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pseudodistance
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analytic set
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irreducible component of a curve
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Picard theorem
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holomorphic map
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