Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Poisson structure on the moduli spaces of sheaves of pure dimension one
  on a surface   Let S be a smooth complex projective surface equipped with a Poisson
structure s and also a polarization H. The moduli space M_H(S,P) of stable
sheaves on S having a fixed Hilbert polynomial P of degree one has a natural
Poisson structure given by s, studied by Tyurin and Bottacin. We prove that the
symplectic leaves of M_H(S,P) are the fibers of the natural map from it to the
symmetric power of the effective divisor on S given by the singular locus of s.

6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
23
The categories of this paper are: solv-int