Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The quadratic complete intersections with the action of the symmetric
  group   We prove that any quadratic complete intersection with certain action of the
symmetric group has the strong Lefschetz property over a field of
characteristic zero. As a consequence of it we construct a new class of
homogeneous complete intersections with generators of higher degrees which have
the strong Lefschetz property.

28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th