Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cuspidal Multiple Structures on Smooth Algebraic Varieties as Support   We construct lci nilpotent scheme structures $Y \subset P$ on a smooth
variety $X$ embedded in a smooth variety $P$, which are, locally, (i.e. in
$\widehat{\mathcal O}_{p,P}$ ) given by ideals of the form $(y^2+x^n, xy,
z_1,...,z_r)$, $(y^3+x^n, xy, z_1 ,...z_r)$

35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th
6
The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
14
The categories of this paper are: math-ph