Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On general fibers of Gauss maps in positive characteristic   A general fiber of the Gauss map of a projective variety in $\mathbb{P}^N$
coincides with a linear subvariety of $\mathbb{P}^N$ in characteristic zero. In
positive characteristic, S. Fukasawa showed that a general fiber of the Gauss
map can be a non-linear variety. In this paper, we show that each irreducible
component of such a possibly non-linear fiber of the Gauss map is contracted to
one point by the degeneracy map, and is contained in a linear subvariety
corresponding to the kernel of the differential of the Gauss map. We also show
the inseparability of Gauss maps of strange varieties not being cones.

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The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
3
The categories of this paper are: physics
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org