Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A note on divisorial correspondences of extensions of abelian schemes by
  tori   Let S be a locally noetherian scheme and consider two extensions G_1 and G_2
of abelian S-schemes by S-tori. In this note we prove that the fppf-sheaf Corr
_S(G_1,G_2) of divisorial correspondences between G_1 and G_2 is representable.
Moreover, using divisorial correspondences, we show that line bundles on an
extension G of an abelian scheme by a torus define group homomorphisms between
G and Pic_{ G/S}.

16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
24
The categories of this paper are: dg-ga
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
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The categories of this paper are: q-alg
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The categories of this paper are: hep-th
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The categories of this paper are: comp-gas
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The categories of this paper are: nlin