Quantitative subspace theorem and general form of second main theorem for higher degree polynomials

This paper deals with the quantitative Schmidt's subspace theorem and general from of second main theorem, which are two correspondence objects in Diophantine approximation theory Nevanlinna theory. In this paper, we give a new below bound for Chow weight projective varieties defined over number field. Then, apply it to prove version polynomials higher degree subgeneral position respect variety. Finally, establish form meromorphic mappings into intersecting hypersurfaces short proof. Our results improve generalize previous these directions.