Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Padded polynomials, their cousins, and geometric complexity theory   We establish basic facts about the varieties of homogeneous polynomials
divisible by powers of linear forms, and explain consequences for geometric
complexity theory. This includes quadratic set-theoretic equations, a
description of the ideal in terms of the kernel of a linear map that
generalizes the Foulkes-Howe map, and an explicit description of the coordinate
ring of the normalization. We also prove asymptotic injectivity of the
Foulkes-Howe map.

19
The categories of this paper are: eess
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ