A generalization of the subspace theorem for higher degree polynomials in subgeneral position

TL;DR

This paper extends Schmidt's subspace theorem to higher degree polynomials in subgeneral position on projective varieties, broadening its applicability in number theory.

Contribution

It provides a generalized version of the subspace theorem for higher degree polynomials in subgeneral position, improving previous results.

Findings

Generalized Schmidt's subspace theorem for higher degree polynomials

Applicable to polynomials in subgeneral position on projective varieties

Enhances previous bounds and conditions in the theorem

Abstract

In this paper, we prove a generalization of the Schmidt's subspace theorem for polynomials of higher degree in subgeneral position with respect to a projective variety over a number field. Our result improves and generalizes the previous results on Schmidt's subspace theorem for the case of higher degree polynomials.