Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Vandermonde determinant identity in higher dimension   We generalise the Vandermonde determinant identity to one which tests whether
a family of hypersurfaces in $\bP^n$ has an unexpected intersection point. The
intended application is an asymptotic estimate of the volume of certain spaces
of homogeneous polynomials on an embedded projective variety.

28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph