Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Class field theory for open curves over local fields   Theory for open curves over a local field. After introducing the reciprocity
map, we determine the kernel and the cokernel of this map. In addition to this,
the Pontrjagin dual of the reciprocity map is also investigated. This gives the
one to one correspondence between the set of finite abelian \'etale coverings
and the set of finite index open subgroups of the id\`ele class group as in the
classical class field theory under some assumptions.

34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th