Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Associated varieties of modules over Kac-Moody algebras and
  $C_2$-cofiniteness of W-algebras   First, we establish the relation between the associated varieties of modules
over Kac-Moody algebras \hat{g} and those over affine W-algebras. Second, we
prove the Feigin-Frenkel conjecture on the singular supports of G-integrable
admissible representations. In fact we show that the associated variates of
G-integrable admissible representations are irreducible G-invariant
subvarieties of the nullcone of g, by determining them explicitly. Third, we
prove the C_2-cofiniteness of a large number of simple W-algebras, including
all minimal series principal W-algebras and the exceptional W-algebras recently
discovered by Kac-Wakimoto.

31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
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The categories of this paper are: supr-con
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The categories of this paper are: eess
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
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The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
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The categories of this paper are: bayes-an
7
The categories of this paper are: hep-th