Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Moduli of twisted sheaves   We study moduli of semistable twisted sheaves on smooth proper morphisms of
algebraic spaces. In the case of a relative curve or surface, we prove results
on the structure of these spaces. For curves, they are essentially isomorphic
to spaces of semistable vector bundles. In the case of surfaces, we show (under
a mild hypothesis on the twisting class) that the spaces are asympotically
geometrically irreducible, normal, generically smooth, and l.c.i. over the
base. We also develop general tools necessary for these results: the theory of
associated points and purity of sheaves on Artin stacks, twisted Bogomolov
inequalities, semistability and boundedness results, and basic results on
twisted Quot-schemes on a surface.

1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics
9
The categories of this paper are: nlin
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph