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arXiv:1010.1599 [math.AG]AbstractReferencesReviewsResources

Toward Dirichlet's unit theorem on arithmetic varieties

Atsushi Moriwaki

Published 2010-10-08, updated 2011-12-27Version 4

In this paper, we would like to propose a fundamental question about a higher dimensional analogue of Dirichlet's unit theorem. We also give a partial answer to the question as an application of the arithmetic Hodge index theorem.

Comments: 47 pages, rewrite Subsection 1.2 and Subsection 2.1 for the forthcoming paper
Categories: math.AG, math.NT
Subjects: 14G40, 11G50
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