Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Compactifications of the universal Jacobian over curves with marked
  points   We construct modular compactifications of the universal Jacobian stack over
the moduli stack of reduced curves with marked points depending on stability
parameters obtained out of fixing a vector bundle on the universal curve. When
restricted to the locus of stable marked curves, our compactifications are
Deligne-Mumford irreducible smooth stacks endowed with projective moduli spaces
and, following Esteves approach to the construction of fine compactifications
of Jacobians, they parametrize torsion-free rank-1 simple sheaves satisfying a
stability condition with respect to the fixed vector bundle. We also study a
number of properties of our compactifications as the existence of forgetful and
clutching morphisms and as well of sections from the moduli stack of stable
curves with marked points. We conclude by indicating a number of different
possible applications for our constructions.

11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
19
The categories of this paper are: eess
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
26
The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph