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Toward Dirichlet's unit theorem on arithmetic varieties

Journal

KYOTO JOURNAL OF MATHEMATICS
Volume 53, Issue 1, Pages 197-259

Publisher

DUKE UNIV PRESS
DOI: 10.1215/21562261-1966116

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Funding

  1. Grants-in-Aid for Scientific Research [22244003] Funding Source: KAKEN

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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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