Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Some model-theoretic perspectives on the structure sheaves of Z hat and
  the ring of finite ad\`eles over Q   We use the classical Ax-Kochen-Ershov analysis of the model theory of
Henselian fields to bring out some model-theoretical aspects of the structure
sheaf of the spectrum of Z^ and the ring of finite ad\`eles over Q. We show
that various structures associated to a prime ideal, such as quotients and
localizations, are well understood model-theoretically, and they are closely
connected to ultrafilters on the set of standard primes.

17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an
23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th
4
The categories of this paper are: cond-mat
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
19
The categories of this paper are: eess
25
The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc