Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stability conditions and extremal contractions   We show that any extremal contraction from a smooth projective variety with
dimension less than or equal to three appears as a moduli space of (semi)stable
objects in the derived category of coherent sheaves.

16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys
13
The categories of this paper are: quant-ph
19
The categories of this paper are: eess
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th