Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Secant Varieties of (P ^1) X .... X (P ^1) (n-times) are NOT Defective
  for n \geq 5   Let V_n be the Segre embedding of (P^1) x ... X (P^1) (n times). We prove
that the higher secant varieties, \sigma_s(V_n), always have the expected
dimension, except for \sigma_3(V_4), which is of dimension 1 less than
expected.

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The categories of this paper are: atom-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: chao-dyn
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The categories of this paper are: adap-org
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The categories of this paper are: hep-th
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The categories of this paper are: hep-ex
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The categories of this paper are: patt-sol
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-ex
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The categories of this paper are: nucl-th
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The categories of this paper are: cs
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The categories of this paper are: q-bio
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The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-alg