Some generalizations of Schmidt's subspace theorem
Number Theory
2023-08-01 v2
Abstract
The aim of this paper is twofold. The first is to give a quantitative version of Schmidt's subspace theorem for arbitrary families of higher degree polynomials. The second is to give a generalization of the subspace theorem for arbitrary families of closed subschemes in algebraic projective varieties.
Cite
@article{arxiv.2212.02471,
title = {Some generalizations of Schmidt's subspace theorem},
author = {Si Duc Quang},
journal= {arXiv preprint arXiv:2212.02471},
year = {2023}
}
Comments
In this version, some typos are corrected and the references list is modified. The paper consists of 17 pages. arXiv admin note: substantial text overlap with arXiv:1808.10286; text overlap with arXiv:math/0408381, arXiv:1910.07966 by other authors