Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Secant varieties of Segre-Veronese varieties P^m x P^n embedded by
  O(1,2)   Let $X_{m,n}$ be the Segre-Veronese variety $\mathbb{P}^m \times
\mathbb{P}^n$ embedded by the morphism given by $\mathcal{O}(1,2)$. In this
paper, we provide two functions $\underline{s}(m,n)\le \bar{s}(m,n)$ such that
the $s^{\mathrm{th}}$ secant variety of $X_{m,n}$ has the expected dimension if
$s \leq \underline{s}(m,n)$ or $ \bar{s}(m,n) \leq s$. We also present a
conjecturally complete list of defective secant varieties of such
Segre-Veronese varieties.

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The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
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The categories of this paper are: patt-sol
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The categories of this paper are: acc-phys
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The categories of this paper are: econ
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-th
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The categories of this paper are: bayes-an
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The categories of this paper are: adap-org
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The categories of this paper are: nlin
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The categories of this paper are: solv-int
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The categories of this paper are: cmp-lg
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The categories of this paper are: ao-sci
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-lat