Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Star configurations on generic hypersurfaces   Let $F$ be a homogeneous polynomial in $S = \mathbb{C}[x_0,...,x_n]$. Our
goal is to understand a particular polynomial decomposition of $F$;
geometrically, we wish to determine when the hypersurface defined by $F$ in
$\mathbb{P}^n$ contains a star configuration. To solve this problem, we use
techniques from commutative algebra and algebraic geometry to reduce our
question to computing the rank of a matrix.

22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg