An effective Schmidt's subspace theorem for hypersurfaces in subgeneral position in projective varieties over function fields

TL;DR

This paper presents an effective version of Schmidt's subspace theorem tailored for hypersurfaces in subgeneral position within smooth projective varieties over function fields, advancing Diophantine approximation techniques.

Contribution

It introduces an effective form of Schmidt's subspace theorem applicable to hypersurfaces in subgeneral position on projective varieties over function fields, extending previous results.

Findings

Established an effective version of Schmidt's subspace theorem for hypersurfaces

Applicable to hypersurfaces in N-subgeneral position

Enhanced tools for Diophantine approximation over function fields

Abstract

We deduce an effective version of Schmidt's subspace theorem on a smooth projective variety X over function fields of characteristic zero for hypersurfaces located in N-subgeneral position with respect to X.