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arXiv · 1606.09006

A decomposition theorem for singular spaces with trivial canonical class of dimension at most five

Stéphane Druel
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Abstract

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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Stéphane Druel. 2016-06-29. A decomposition theorem for singular spaces with trivial canonical class of dimension at most five. https://arxiv.org/abs/1606.09006

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