Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Frobenius splitting of equivariant closures of regular conjugacy classes   Let $G$ denote a connected semisimple and simply connected algebraic group
over an algebraically closed field $k$ of positive characteristic and let $g$
denote a regular element of $G$. Let $X$ denote any equivariant embedding of
$G$. We prove that the closure of the conjugacy class of $g$ within $X$ is
normal and Cohen-Macaulay. Moreover, when $X$ is smooth we prove that this
closure is a local complete intersection. As a consequence, the closure of the
unipotent variety within $X$ share the same geometric properties.

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The categories of this paper are: adap-org
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The categories of this paper are: acc-phys
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The categories of this paper are: gr-qc
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The categories of this paper are: bayes-an
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The categories of this paper are: funct-an
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The categories of this paper are: quant-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: econ
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The categories of this paper are: stat
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The categories of this paper are: math-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: mtrl-th
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The categories of this paper are: nucl-th