Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Divisor varieties of symmetric products   The geometry of divisors on algebraic curves has been studied extensively
over the years. The foundational results of this Brill-Noether theory imply
that on a general curve, the spaces parametrizing linear series (of fixed
degree and dimension) are smooth, irreducible projective varieties of known
dimension. For higher dimensional varieties, the story is less well understood.
Our purpose in this paper is to study in detail one class of higher dimensional
examples where one can hope for a quite detailed picture, namely (the spaces
parametrizing) divisors on the symmetric product of a curve.

29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
17
The categories of this paper are: q-fin
23
The categories of this paper are: solv-int
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol