Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A decomposition theorem for 0-cycles and applications to class field
  theory   We describe the abelian {\'e}tale fundamental group with modulus in terms of
0-cycles on a class of smooth quasi-projective varieties over finite fields
which may not admit smooth compactifications. Using a limit process, this
yields a cycle-theoretic analogue of the $K$-theoretic reciprocity theorem of
Kato-Saito for such varieties. The proof is based on a decomposition theorem
for the cohomological Chow group of 0-cycles on the double of a
quasi-projective $R_1$-scheme over a field along a closed subscheme in terms of
the Chow groups with and without modulus of the scheme. This also extends the
decomposition theorem of Binda-Krishna to smooth schemes over imperfect fields.

23
The categories of this paper are: solv-int
19
The categories of this paper are: eess
21
The categories of this paper are: adap-org
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci