Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A note on higher order Gauss maps   We study Gauss maps of order $k$, associated to a projective variety $X$
embedded in projective space via a line bundle $L.$ We show that if $X$ is a
smooth, complete complex variety and $L$ is a $k$-jet spanned line bundle on
$X$, with $k\geq 1,$ then the Gauss map of order $k$ has finite fibers, unless
$X=\mathbb{P}^n$ is embedded by the Veronese embedding of order $k$. In the
case where $X$ is a toric variety, we give a combinatorial description of the
Gauss maps of order $k$, its image and the generic fibers.

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The categories of this paper are: nucl-ex
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The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
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The categories of this paper are: q-fin
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The categories of this paper are: stat
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The categories of this paper are: acc-phys
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The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
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The categories of this paper are: econ
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The categories of this paper are: bayes-an
25
The categories of this paper are: patt-sol