Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Instability and Singularity of Projective Hypersurfaces   In this paper, we will show that the Hesselink stratification of a Hilbert
scheme of hypersurfaces is independent of the choice of Pl\"ucker coordinate
and there is a positive relation between the length of Hesselink's worst
virtual 1-parameter subgroup and multiplicity of a projective hypersurface.

5
The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg