Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nagata's compactification theorem for normal toric varieties over a
  valuation ring of rank one   We prove, using invariant Zariski-Riemann spaces, that every normal toric
variety over a valuation ring of rank one can be embedded as an open dense
subset into a proper toric variety equivariantly. This extends a well known
theorem of Sumihiro for toric varieties over a field to this more general
setting.

22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
8
The categories of this paper are: hep-ex
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The categories of this paper are: cmp-lg
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The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
3
The categories of this paper are: physics
9
The categories of this paper are: nlin