Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exact model categories, approximation theory, and cohomology of
  quasi-coherent sheaves   Our aim is to give a fairly complete account on the construction of
compatible model structures on exact categories and symmetric monoidal exact
categories, in some cases generalizing previously known results. We describe
the close connection of this theory to approximation theory and cotorsion
pairs. We also discuss the motivating applications with the emphasis on
constructing monoidal model structures for the derived category of
quasi-coherent sheaves of modules over a scheme.

9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs