Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Permutohedral spaces and the Cox ring of the moduli space of stable
  pointed rational curves   We study the Cox ring of the moduli space of stable pointed rational curves,
\M_{0,n}, via the closely related permutohedral (or Losev-Manin) spaces. Our
main result establishes \binom{n}{2} polynomial subrings of the Cox ring, thus
giving collections of boundary variables that intersect the ideal of relations
trivially. As applications, we give a combinatorial way to partially solve the
Riemann-Roch problem for \M_{0,n}, and we show that all relations in degrees of
Cox(\M_{0,6}) arising from certain pull-backs from projective spaces are
generated by the Plucker relations.

34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
1
The categories of this paper are: cs
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th