Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Abelian extensions of global fields with constant local degrees   Given a global field K and a positive integer n, there exists an abelian
extension L/K (of exponent n) such that the local degree of L/K is equal to n
at every finite prime of K, and is equal to two at the real primes if n=2. As a
consequence, the n-torsion subgroup of the Brauer group of K is equal to the
relative Brauer group of L/K.

22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
23
The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph