Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Deformations of holomorphic Poisson manifolds   An unobstructedness theorem is proved for deformations of compact holomorphic
Poisson manifolds and applied to a class of examples. These include certain
rational surfaces and Hilbert schemes of points on Poisson surfaces. We study
in particular the Hilbert schemes of the projective plane and show that a
generic deformation is determined by two parameters -- an elliptic curve and a
translation on it.

12
The categories of this paper are: nucl-th
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
19
The categories of this paper are: eess
4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph