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December 2015 Toward a geometric analogue of Dirichlet’s unit theorem
Atsushi Moriwaki
Kyoto J. Math. 55(4): 799-817 (December 2015). DOI: 10.1215/21562261-3157748

Abstract

In this article, we propose a geometric analogue of Dirichlet’s unit theorem on arithmetic varieties; that is, if X is a normal projective variety over a finite field and D is a pseudo-effective Q-Cartier divisor on X, does it follow that D is Q-effective? We also give affirmative answers on an abelian variety and a projective bundle over a curve.

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Atsushi Moriwaki. "Toward a geometric analogue of Dirichlet’s unit theorem." Kyoto J. Math. 55 (4) 799 - 817, December 2015. https://doi.org/10.1215/21562261-3157748

Information

Received: 12 March 2014; Revised: 18 August 2014; Accepted: 18 September 2014; Published: December 2015
First available in Project Euclid: 25 November 2015

zbMATH: 1349.14094
MathSciNet: MR3479310
Digital Object Identifier: 10.1215/21562261-3157748

Subjects:
Primary: 14G15
Secondary: 11G25, 11R04

Rights: Copyright © 2015 Kyoto University

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Vol.55 • No. 4 • December 2015
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