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arXiv · 1704.01800

A decomposition theorem for smoothable varieties with trivial canonical class

Stéphane Druel·Henri Guenancia
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Abstract

In this paper we show that any smoothable complex projective variety, smooth in codimension two, with klt 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 symplectic varieties.

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Stéphane Druel, Henri Guenancia. 2017-04-06. A decomposition theorem for smoothable varieties with trivial canonical class. https://arxiv.org/abs/1704.01800

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