Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cox rings over nonclosed fields   We give a definition of Cox rings and Cox sheaves for varieties over
nonclosed fields that is compatible with torsors under quasitori, including
universal torsors. We study their existence and classification, we make the
relation to torsors precise, and we present arithmetic applications.

14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph