Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Gushel-Mukai varieties with many symmetries and an explicit irrational
  Gushel-Mukai threefold   We construct an explicit complex smooth Fano threefold with Picard number 1,
index 1, and degree 10 (also known as a Gushel-Mukai threefold) and prove that
it is not rational by showing that its intermediate Jacobian has a faithful
$\mathrm{PSL}(2,\mathbf{F}_{11}) $-action. Along the way, we construct
Gushel-Mukai varieties of various dimensions with rather large (finite)
automorphism groups. The starting point of all these constructions is an
Eisenbud-Popescu-Walter sextic with a faithful $\mathrm{PSL}(2,\mathbf{F}_{11})
$-action discovered by the second author in 2013.

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The categories of this paper are: hep-th
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The categories of this paper are: q-fin
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The categories of this paper are: mtrl-th
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The categories of this paper are: bayes-an
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The categories of this paper are: chem-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: funct-an
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The categories of this paper are: atom-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: cmp-lg
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The categories of this paper are: stat
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The categories of this paper are: cond-mat
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The categories of this paper are: ao-sci
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The categories of this paper are: q-alg
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The categories of this paper are: math-ph
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The categories of this paper are: eess