Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On spinor varieties and their secants   We study the secant variety of the spinor variety, focusing on its equations
of degree three and four. We show that in type $D_n$, cubic equations exist if
and only if $n\ge 9$. In general the ideal has generators in degrees at least
three and four. Finally we observe that the other Freudenthal varieties exhibit
strikingly similar behaviors.

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The categories of this paper are: q-fin
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The categories of this paper are: econ
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
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The categories of this paper are: bayes-an
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
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The categories of this paper are: stat
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The categories of this paper are: alg-geom
1
The categories of this paper are: cs