Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Varieties of pairs of nilpotent matrices annihilating each other   We classify the irreducible components of the varieties V(n,a,b) of pairs
(A,B) of matrices of size n such that AB = BA = 0 and A^a = B^b = 0.

0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
19
The categories of this paper are: eess
14
The categories of this paper are: math-ph
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
23
The categories of this paper are: solv-int