Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Descent theory for semiorthogonal decompositions   In this paper a method of constructing a semiorthogonal decomposition of the
derived category of $G$-equivariant sheaves on a variety $X$ is described,
provided that the derived category of sheaves on $X$ admits a semiorthogonal
decomposition, whose components are preserved by the action of the group $G$ on
$X$. Using this method, semiorthogonal decompositions of equivariant derived
categories were obtained for projective bundles and for blow-ups with a smooth
center, and also for varieties with a full exceptional collection, preserved by
the action of the group. As a main technical instrument, descent theory for
derived categories is used.

18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph