Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A proof of the set-theoretic version of the salmon conjecture   We show that the irreducible variety of 4 x 4 x 4 complex valued tensors of
border rank at most 4 is the zero set of polynomial equations of degree 5 (the
Strassen commutative conditions), of degree 6 (the Landsberg-Manivel
polynomials), and of degree 9 (the symmetrization conditions).

13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
24
The categories of this paper are: dg-ga
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys