Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Equations for secant varieties of Chow varieties   The Chow variety of polynomials that decompose as a product of linear forms
has been studied for more than 100 years. Finding equations in the ideal of
secant varieties of Chow varieties would enable one to measure the complexity
the permanent to prove Valiant's conjecture $\mathbf{VP\neq VNP}$. In this
article, I use the method of prolongation to obtain equations for secant
varieties of Chow varieties as $GL(V)$-modules.

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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: alg-geom
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The categories of this paper are: chem-ph
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The categories of this paper are: math-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: mtrl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-alg
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The categories of this paper are: atom-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: comp-gas
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The categories of this paper are: cmp-lg
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The categories of this paper are: patt-sol
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The categories of this paper are: nlin