Weak Cartan-type second main theorem for holomorphic curves
type: Item
instance of: scholarly article
title: Weak Cartan-type second main theorem for holomorphic curves
zbMATH Open document ID: 1181.32021
author: Qiming Yan
author: Zhihua Chen
publication date: 2008-09-09T00:00:00Z
review text: This is a contribution to Nevanlinna theory (also known as ``Value Distribution Theory''). In [Am. J. Math. 126, No. 1, 215--226 (2004; Zbl 1044.32009)], \textit{M. Ru} proved a weak ``Second Main Theorem'' for algebraically non-degenerate holomorphic curves \(f:{\mathbb C}\to {\mathbb P}_n{\mathbb C}\) with respect to an arbitrary divisor \(D\). Chen and Yan improve this result to include truncation. They show that given for every \(\epsilon>0\) there exists a natural number \(M\) such that Ru's result holds with truncation level \(M\).
reviewed by: Jörg Winkelmann
Mathematics Subject Classification ID: 32H30
Mathematics Subject Classification ID: 32A22
zbMATH DE Number: 5323394
zbMATH Keywords: holomorphic curve
zbMATH Keywords: Nevanlinna theory
zbMATH Keywords: second main theorem
zbMATH Keywords: value distribution theory
zbMATH Keywords: truncated counting function
MaRDI profile type: Publication
full work available at URL: s10114-007-0962-4
OpenAlex ID: W2070732015
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DOI: 10.1007/S10114-007-0962-4
published in: Acta Mathematica Sinica, English Series
description: scientific article; zbMATH DE number 5323394