Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nilpotent commuting varieties of reductive Lie algebras   We prove that the nilpotent commuting variety of a reductive Lie algebra over
an algebraically closed field of good characteristic is equidimensional. In
characteristic zero, this confirms a conjecture of Vladimir Baranovsky. As a
by-product, we obtain tat the punctual (local) Hilbert scheme parametrising the
ideals of colength $n$ in $k[[X,Y]]$ is irreducible over any algebraically
closed field $k$.

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The categories of this paper are: supr-con
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The categories of this paper are: q-bio
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The categories of this paper are: ao-sci
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The categories of this paper are: econ
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The categories of this paper are: dg-ga
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The categories of this paper are: chem-ph
1
The categories of this paper are: cs
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The categories of this paper are: hep-ex
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The categories of this paper are: eess
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The categories of this paper are: chao-dyn
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The categories of this paper are: acc-phys
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The categories of this paper are: solv-int
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The categories of this paper are: plasm-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: comp-gas
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The categories of this paper are: q-fin