Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On a canonical class of Green currents for the unit sections of abelian
  schemes   We show that on any abelian scheme over a complex quasi-projective smooth
variety, there is a Green current for the zero-section, which is axiomatically
determined up to $\partial$ and $\bar\partial$-exact differential forms. This
current generalizes the Siegel functions defined on elliptic curves. We prove
generalizations of classical properties of Siegel functions, like distribution
relations, limit formulae and reciprocity laws.

29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin
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The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
12
The categories of this paper are: nucl-th
6
The categories of this paper are: astro-ph