A generalization of the big Picard theorem
type: Item
instance of: scholarly article
title: A generalization of the big Picard theorem
zbMATH Open document ID: 0852.32012
author: Yukinobu Adachi
published in: Kodai Mathematical Journal
publication date: 1996-04-16T00:00:00Z
review text: 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 \(N\).
Mathematics Subject Classification ID: 32H25
Mathematics Subject Classification ID: 32F45
zbMATH DE Number: 866118
zbMATH Keywords: pseudodistance
zbMATH Keywords: analytic set
zbMATH Keywords: irreducible component of a curve
zbMATH Keywords: Picard theorem
zbMATH Keywords: holomorphic map
reviewed by: A. Klíč
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2996/kmj/1138043480
OpenAlex ID: W1987778963
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DOI: 10.2996/KMJ/1138043480
description: scientific article; zbMATH DE number 866118