Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On related varieties to the commuting variety of a semisimple Lie
  algebra   Let g be a semisimple Lie algebra of finite dimension. The nullcone N of g is
the set of (x,y) in g x g such that x and y are nilpotents and are in the same
Borel sualgebra. The main result of this paper is that N is a closed and
irreducible subvariety of g x g, its normalisation has rational singularities
and its normalization morphism is bijective.

7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
21
The categories of this paper are: adap-org
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas