Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sets computing the symmetric tensor rank   Let n_d denote the degree d Veronese embedding of a projective space P^r. For
any symmetric tensor P, the 'symmetric tensor rank' sr(P) is the minimal
cardinality of a subset A of P^r, such that n_d(A) spans P. Let S(P) be the
space of all subsets A of P^r, such that n_d(A) computes sr(P). Here we
classify all P in P^n such that sr(P) < 3d/2 and sr(P) is computed by at least
two subsets. For such tensors P, we prove that S(P) has no isolated points.

10
The categories of this paper are: q-bio
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
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The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
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The categories of this paper are: patt-sol
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The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph