Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Construction of triangulated categories of motives using the
  localization property   Using the localization property, we construct a triangulated category of
motives over quasi-projective T-schemes for any coefficient where T is a
noetherian separated scheme, and we prove the Grothendieck six operations
formalism. We also construct integral \'etale realization of motives.

10
The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
34
The categories of this paper are: chem-ph