Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Arithmetic volumes of unitary Shimura varieties   The integral model of a GU(n-1,1) Shimura variety carries a universal abelian
scheme over it, and the dual top exterior power of its Lie algebra carries a
natural hermitian metric. We express the arithmetic volume of this metrized
line bundle, defined as an iterated self-intersection in the Gillet-Soule
arithmetic Chow ring, in terms of logarithmic derivatives of Dirichlet
L-functions.

7
The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
19
The categories of this paper are: eess
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys