Big Picard's theorems for holomorphic mappings of several complex variables into \(\mathbb{P}^{N}(C)\) with moving hyperplanes
type: Item
instance of: scholarly article
title: Big Picard's theorems for holomorphic mappings of several complex variables into \(\mathbb{P}^{N}(C)\) with moving hyperplanes
zbMATH Open document ID: 1114.32009
published in: Journal of Mathematical Analysis and Applications
publication date: 2006-12-07T00:00:00Z
review text: Motivated by the second main theorem with moving targets, many authors have studied the moving target problem in value distribution theory and related topics. In this paper, the author proves some big Picard's theorems for holomorphic mappings of several complex variables into the complex projective \(n\)-space \(\mathbb{P}^n(\mathbb{C})\) with moving hyperplanes, related to Nochka's little Picard-type theorems. As applications, the author gives a new quasi-normal criterion for families of meromorphic mappings of several complex variables into \(\mathbb{P}^n(\mathbb{C})\) with moving hyperplanes.
Mathematics Subject Classification ID: 32H25
Mathematics Subject Classification ID: 32A17
zbMATH DE Number: 5078087
zbMATH Keywords: Picard's theorems
zbMATH Keywords: complex projective space
zbMATH Keywords: holomorphic mapping
zbMATH Keywords: value distribution theory
zbMATH Keywords: moving hyperplanes
author: Zhenhan Tu
reviewed by: Martin Chuaqui
MaRDI profile type: Publication
full work available at URL: j.jmaa.2005.12.041
OpenAlex ID: W1971782192
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DOI: 10.1016/J.JMAA.2005.12.041
description: scientific article; zbMATH DE number 5078087