Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Derived categories of coherent sheaves   We discuss derived categories of coherent sheaves on algebraic varieties. We
focus on the case of non-singular Calabi-Yau varieties and consider two
unsolved problems: proving that birational varieties have equivalent derived
categories, and computing the group of derived autoequivalences. We also
introduce the space of stability conditions on a triangulated category and
explain its relevance to these two problems.

16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
14
The categories of this paper are: math-ph
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int
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The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph