Journal of Differential Geometry

A Toric Extension of Faltings' 'Diophantine Approximation on Abelian Varieties'

Michael Mcquillan

Abstract

For divisors on abelian varieties, Faltings established an optimal bound on the proximity of rational points to the same. We extend this both to the quasiprojective category, where the role of abelian varieties is played by their toroidal extensions, and to holomorphic maps from the line, proving along the way some wholly general dynamic intersection estimates in value distribution theory of independent interest.

Article information

Source
J. Differential Geom., Volume 57, Number 2 (2001), 195-231.

Dates
First available in Project Euclid: 20 July 2004

Permanent link to this document
https://projecteuclid.org/euclid.jdg/1090348109

Digital Object Identifier
doi:10.4310/jdg/1090348109

Mathematical Reviews number (MathSciNet)
MR1879225

Zentralblatt MATH identifier
1070.11028

Citation

Mcquillan, Michael. A Toric Extension of Faltings' 'Diophantine Approximation on Abelian Varieties'. J. Differential Geom. 57 (2001), no. 2, 195--231. doi:10.4310/jdg/1090348109. https://projecteuclid.org/euclid.jdg/1090348109


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