Toward Dirichlet's unit theorem on arithmetic varieties
Algebraic Geometry
2015-01-14 v4 Number Theory
Abstract
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.
Cite
@article{arxiv.1010.1599,
title = {Toward Dirichlet's unit theorem on arithmetic varieties},
author = {Atsushi Moriwaki},
journal= {arXiv preprint arXiv:1010.1599},
year = {2015}
}
Comments
47 pages, rewrite Subsection 1.2 and Subsection 2.1 for the forthcoming paper