Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Extension of 2-forms and symplectic varieties   This paper deals with symplectic varieties which do not have symplectic
resolutions. Some moduli spaces of semi-stable torsion-free sheaves on a K3
surface, and symplectic V-manifolds are such varieties.
  We shall prove local Torelli theorem for symplectic varieties. Some results
on symplectic singularities are also included.

15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
19
The categories of this paper are: eess
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin