The degenerate Schmidt's subspace theorem for moving hypersurface targets

TL;DR

This paper extends Schmidt's subspace theorem to moving hypersurface targets in subgeneral position within projective varieties, broadening its applicability in Diophantine approximation.

Contribution

It introduces a version of Schmidt's subspace theorem for moving hypersurfaces in subgeneral position on projective varieties, a novel generalization.

Findings

Established a new subspace theorem for moving hypersurfaces

Applied the theorem to Diophantine approximation problems

Extended previous results to subgeneral position cases

Abstract

Our goal is to give Schmidt's subspace theorem for moving hypersurface targets in subgeneral position in projective varieties.