Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A decomposition theorem for singular spaces with trivial canonical class
  of dimension at most five   In this paper we partly extend the Beauville-Bogomolov decomposition theorem
to the singular setting. We show that any complex projective variety of
dimension at most five with canonical singularities and numerically trivial
canonical class admits a finite cover, \'etale in codimension one, that
decomposes as a product of an Abelian variety, and singular analogues of
irreducible Calabi-Yau and irreducible holomorphic symplectic varieties.

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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: math-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: atom-ph
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The categories of this paper are: funct-an
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The categories of this paper are: adap-org
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The categories of this paper are: cond-mat
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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-ex
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The categories of this paper are: q-alg
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The categories of this paper are: q-fin
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The categories of this paper are: astro-ph
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The categories of this paper are: eess