June 2023 A Wirsing-type theorem for numerically equivalent divisors
Giang Le
Author Affiliations +
Kodai Math. J. 46(2): 228-241 (June 2023). DOI: 10.2996/kmj46206

Abstract

In this paper, we study a Wirsing type theorem for points of bounded degree in projective varieties for numerically equivalent ample divisors located in subgeneral position. We also show its application to give some finiteness conditions on decomposable form inequalities with solutions of bounded degrees.

Funding Statement

This work was supported by the Vietnam National Foundation for Science and Technology Development (NAFOSTED) under Grant No. 101.02-2021.16.

Acknowledgment

The author would like to thank the reviewers for helpful comments and suggestions, especially for the contribution to correcting the arguments at the end of the proof of Theorem 9.

Citation

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Giang Le. "A Wirsing-type theorem for numerically equivalent divisors." Kodai Math. J. 46 (2) 228 - 241, June 2023. https://doi.org/10.2996/kmj46206

Information

Received: 28 May 2021; Revised: 6 February 2023; Published: June 2023
First available in Project Euclid: 29 June 2023

MathSciNet: MR4609443
zbMATH: 07714062
Digital Object Identifier: 10.2996/kmj46206

Subjects:
Primary: 11J87
Secondary: 11J25 , 11J97

Keywords: Schmidt's subspace theorem for algebraic points , Wirsing-type theorem

Rights: Copyright © 2023 Tokyo Institute of Technology, Department of Mathematics

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Vol.46 • No. 2 • June 2023
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