Schmidt's subspace theorem for moving hypersurface in subgeneral position

TL;DR

This paper extends Schmidt's subspace theorem to moving hypersurfaces in weakly subgeneral position, broadening its applicability in Diophantine approximation and algebraic geometry.

Contribution

It generalizes existing results by establishing a Schmidt's subspace theorem for moving hypersurfaces in weakly subgeneral position.

Findings

The theorem applies to a wider class of moving hypersurfaces.

It provides new bounds in Diophantine approximation.

The results unify and extend previous special cases.

Abstract

In this paper, we establish a Schmidt's subspace theorem for moving hypersurfaces in weakly subgeneral position. Our result generalizes the previous results on Schmidt's theorem for the case of moving hypersurfaces.