Integral points of \(\mathbb{P}^ n-\{2n+1\) hyperplanes in general position\(\}\)
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 \(q>2N-k+1\).
scientific article; zbMATH DE number 59799
scientific article