Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Equations for secant varieties via vector bundles   We introduce vector bundle techniques for finding equations of secant
varieties. A test is established that determines when a secant variety is an
irreducible component of the zero set of the equations found. We also prove an
induction theorem for varieties that are not weakly defective, that allows one
to conclude that the zero set of the equations found for s_{r-1}(X) have
s_{r-1}(X) as an irreducible component when s_r(X) is an irreducible component
of the equations found for it. The techniques are illustrated with examples of
homogeneous varieties. We give an algorithm to decompose a general ternary
quintic as the sum of seven fifth powers.

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The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
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The categories of this paper are: alg-geom
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The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg