Some generalizations of Schmidt's subspace theorem

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.

arXiv commentIn 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