Toward Dirichlet's unit theorem on arithmetic varieties

Details Toward Dirichlet's unit theorem on arithmetic varieties Toward Dirichlet's unit theorem on arithmetic varieties

2010-10-08

arxiv.org/abs/1010.1599v4

Mathematics

Algebraic Geometry

47 pages, rewrite Subsection 1.2 and Subsection 2.1 for the forthcoming paper

Scientific paper

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.

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