Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Equations for $\bar M_{0,n}$   We show that the log canonical bundle, $\kappa$, of $\bar M_{0,n}$ is very
ample, show the homogeneous coordinate ring is Koszul, and give a nice set of
rank 4 quadratic generators for the homogeneous ideal: The embedding is
equivariant for the symmetric group, and the image lies on many Segre embedded
copies of $P^1 \times P^2 \times ... \times P^{n-3}$, permuted by the symmetric
group. The homogeneous ideal of $\bar M_{0,n}$ is the sum of the homogeneous
ideals of these Segre embeddings.

16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat