Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Some remarks on osculating self-dual varieties   Let us say that a curve $C\subset\mathbb P^3$ is osculating self-dual if it
is projectively equivalent to the curve in the dual space $(\mathbb P^3)^*$
whose points are osculating planes to~$C$. Similarly, we say that a
$k$-dimensional subvariety $X\subset\mathbb P^{2k+1}$ is osculating self-dual
if its second osculating space at the general point is a hyperplane and $X$ is
projectively equivalent to the variety in $(\mathbb P^{2k+1})^*$ whose points
are second osculating spaces to $X$.
  In this note we show that for each $k\ge 1$ there exist many osculating
self-dual $k$-dimensional subvarieties in $\mathbb P^{2k+1}$.

23
The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat