Translator Disclaimer
June 2017 On a general Diophantine inequality
Min Ru
Funct. Approx. Comment. Math. 56(2): 143-163 (June 2017). DOI: 10.7169/facm/1599

Abstract

In [Ru15], the author introduced the notion of Nevanlinna constant (denoted by $Nev(D)$) for any effective Cartier divisor $D$ on a normal projective variety $X$, and established a defect relation for Zariski-dense holomorphic mappings $f: {\mathbb C}\rightarrow X$ in terms of $Nev(D)$. In this paper, we prove its counterpart result in Diophantine approximation, according to Vojta's correspondence (or Vojta's dictionary [Voj87]). The results obtained gave the quantitative extension of the earlier results of Corvaja-Zannier [CZ04a,CZ04b], Evertse-Ferretti [EF02, EF08], A. Levin [Lev09], P. Autissier [Aut1], and others.

Citation

Download Citation

Min Ru. "On a general Diophantine inequality." Funct. Approx. Comment. Math. 56 (2) 143 - 163, June 2017. https://doi.org/10.7169/facm/1599

Information

Published: June 2017
First available in Project Euclid: 27 January 2017

zbMATH: 06864151
MathSciNet: MR3660956
Digital Object Identifier: 10.7169/facm/1599

Subjects:
Primary: 11J97
Secondary: 11J87

Rights: Copyright © 2017 Adam Mickiewicz University

JOURNAL ARTICLE
21 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

SHARE
Vol.56 • No. 2 • June 2017
Back to Top