Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Differentiability of the arithmetic volume function   We introduce the positive intersection product in Arakelov geometry and prove
that the arithmetic volume function is continuously differentiable. As
applications, we compute the distribution function of the asymptotic measure of
a Hermitian line bundle and several other arithmetic invariants.

7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
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The categories of this paper are: gr-qc
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph