Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Toward Dirichlet's unit theorem on arithmetic varieties   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.

12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
19
The categories of this paper are: eess