Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A DG-enhancement of D(QCoh(X)) with applications in deformation theory   It is well-known that DG-enhancements of D(QCoh(X)) are all equivalent to
each other, see [23]. Here we present an explicit model which leads to
applications in deformation theory. In particular, we shall describe three
models for derived endomorphisms of a quasi-coherent sheaf F on a
finite-dimensional Noetherian separated scheme (even if F does not admit a
locally free resolution). Moreover, these complexes are endowed with DG-Lie
algebra structures, which we prove to control infinitesimal deformations of F.

11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex