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A generalization of the big Picard theorem - MaRDI portal

A generalization of the big Picard theorem (Q1911162)

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scientific article; zbMATH DE number 866118
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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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