Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Symplectic birational transformations of finite order on O'Grady's
  sixfolds   We prove that any symplectic automorphism of finite order on a manifold of
type OG6 acts trivially on the Beauville--Bogomolov--Fujiki lattice and that
any birational transformation of finite order acts trivially on its
discriminant group. Moreover, we classify all possible invariant and
coinvariant sublattices.

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The categories of this paper are: alg-geom
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The categories of this paper are: funct-an
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The categories of this paper are: physics
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The categories of this paper are: q-bio
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The categories of this paper are: astro-ph
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The categories of this paper are: solv-int
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The categories of this paper are: econ
13
The categories of this paper are: quant-ph
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The categories of this paper are: stat
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The categories of this paper are: ao-sci
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The categories of this paper are: nucl-ex
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The categories of this paper are: cs
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The categories of this paper are: dg-ga
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The categories of this paper are: mtrl-th
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The categories of this paper are: supr-con
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The categories of this paper are: plasm-ph