Research PaperNo Access

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

Si Duc Quang

Si Duc Quang

Department of Mathematics, Hanoi National University of Education, 136-Xuan Thuy, Cau Giay, Hanoi, Vietnam

Thang Long Institute of Mathematics and Applied Sciences, Nghiem Xuan Yem, Hoang Mai, Hanoi, Vietnam

E-mail Address: [email protected]

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https://doi.org/10.1142/S1793042119500404Cited by:11 (Source: Crossref)

Abstract

In this paper, we prove a generalization of 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.

Keywords:

AMSC: 11J68, 11J25, 11J97

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