Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Conductors of wild extensions of local fields, especially in mixed
  characteristic (0,2)   If K_0 is the fraction field of the Witt vectors over an algebraically closed
field k of characteristic p, we calculate upper bounds on the conductor of
higher ramification for (the Galois closure of) extensions K_0(zeta_{p^r},
sqrt[p^r]{a})/K_0, where a is in K_0(zeta_{p^r}). Here zeta_{p^r} is a
primitive p^r-th root of unity. In certain cases, including when a is in K_0
and p=2, we calculate the conductor exactly. These calculations can be used to
determine the discriminants of various extensions of Q obtained by adjoining
roots of unity and radicals.

12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci