Integral points of \(\mathbb{P}^ n-\{2n+1\) hyperplanes in general position\(\}\)
type: Item
instance of: scholarly article
title: Integral points of \(\mathbb{P}^ n-\{2n+1\) hyperplanes in general position\(\}\)
zbMATH Open document ID: 0758.14007
DOI: 10.1007/BF01243910
author: Min Ru
author: Pit-Mann Wong
published in: Inventiones Mathematicae
publication date: 1992-09-27T00:00:00Z
full work available at URL: https://eudml.org/doc/143939
review text: The authors apply Schmidt's theorems on diophantine approximation to prove finiteness results on integral points in \(\mathbb{P}^ n-H_ 1\cup\dots\cup H_ q\), \(H_ i\) hyperplanes in general position. The new tool is a theory of ``Nockka weights'', which seem to be a variant of the Harder-Narasimhan filtration (transferred from vector bundles to filtered vector spaces). One can slightly strengthen the main theorem to the extent that there are only finitely many integral points outside one fixed \(\mathbb{P}^{k-1}\), if \(q>2N-k+1\).
Mathematics Subject Classification ID: 14G05
Mathematics Subject Classification ID: 11J99
zbMATH DE Number: 59799
zbMATH Keywords: Nockka weights
zbMATH Keywords: diophantine approximation
zbMATH Keywords: finiteness results on integral points
MaRDI profile type: Publication
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reviewed by: Gerd Faltings
description: scientific article; zbMATH DE number 59799