Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Singularities of the dual curve of a certain plane curve in positive
  characteristic   It is well known that the Gauss map for a complex plane curve is birational,
whereas the Gauss map in positive characteristic is not always birational. Let
$q$ be a power of a prime integer. We study a certain plane curve of degree
$q^2+q+1$ for which the Gauss map is inseparable with inseparable degree $q$.
As a special case, we show a relation between the dual curve of the Fermat
curve of degree $q^2+q+1$ and the Ballico-Hefez curve.

25
The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess
3
The categories of this paper are: physics
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg