An effective Schmidt's subspace theorem over function fields
type: Item
instance of: scholarly article
title: An effective Schmidt's subspace theorem over function fields
zbMATH Open document ID: 1051.11041
author: Julie Tzu-Yueh Wang
published in: Mathematische Zeitschrift
publication date: 2004-07-01T00:00:00Z
review text: In the paper under review a version of the effective Schmidt's subspace theorem over function fields is dealt with. Let \(K\) be a function field of a nonsingular variety over an algebraically closed field of characteristic zero. Then the author proves an effective Schmidt's subspace theorem for \(\mathbb{P}^N(K)\). It is noticed that Schmidt's subspace theorem over function fields corresponds to the second main theorem of Nevanlinna-Cartan for moving targets. In the proof of the main result, she first proves the Nevanlinna-Cartan second main theorem over function fields of non-singular varieties with moving targets. To ensure the effectiveness, she next uses \textit{P. Vojta's} methods [Am. J. Math. 111, No. 3, 489--518 (1989; Zbl 0662.14002)].
reviewed by: Yoshihiro Aihara
Mathematics Subject Classification ID: 11J97
Mathematics Subject Classification ID: 32H30
Mathematics Subject Classification ID: 11J13
zbMATH DE Number: 2078074
zbMATH Keywords: Schmidt's subspace theorem
zbMATH Keywords: function field
MaRDI profile type: Publication
full work available at URL: s00209-003-0618-8
OpenAlex ID: W2020116803
DOI: 10.1007/S00209-003-0618-8
description: scientific article; zbMATH DE number 2078074