Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Toric completions and bounded functions on real algebraic varieties   Given a semi-algebraic set S, we study compactifications of S that arise from
embeddings into complete toric varieties. This makes it possible to describe
the asymptotic growth of polynomial functions on S in terms of combinatorial
data. We extend our earlier work to compute the ring of bounded functions in
this setting and discuss applications to positive polynomials and the moment
problem. Complete results are obtained in special cases, like sets defined by
binomial inequalities. We also show that the wild behaviour of certain examples
constructed by Krug and by Mondal-Netzer cannot occur in a toric setting.

19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc