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May 2018 Diophantine Approximation Constants for Varieties over Function Fields
Nathan Grieve
Michigan Math. J. 67(2): 371-404 (May 2018). DOI: 10.1307/mmj/1522980164

Abstract

By analogy with the program of McKinnon and Roth [10], we define and study approximation constants for points of a projective variety X defined over K, the function field of an irreducible and nonsingular in codimension 1 projective variety defined over an algebraically closed field of characteristic zero. In this setting, we use Wang’s theorem, which is an effective version of Schmidt’s subspace theorem, to give a sufficient condition for such approximation constants to be computed on a proper K-subvariety of X. We also indicate how our approximation constants are related to volume functions and Seshadri constants.

Citation

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Nathan Grieve. "Diophantine Approximation Constants for Varieties over Function Fields." Michigan Math. J. 67 (2) 371 - 404, May 2018. https://doi.org/10.1307/mmj/1522980164

Information

Received: 11 October 2016; Revised: 15 February 2017; Published: May 2018
First available in Project Euclid: 6 April 2018

zbMATH: 06914767
MathSciNet: MR3802258
Digital Object Identifier: 10.1307/mmj/1522980164

Subjects:
Primary: 14G05
Secondary: 14G40

Rights: Copyright © 2018 The University of Michigan

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Vol.67 • No. 2 • May 2018
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