A decomposition theorem for singular spaces with trivial canonical class of dimension at most five
Algebraic Geometry
2016-06-30 v1
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.
Keywords
Cite
@article{arxiv.1606.09006,
title = {A decomposition theorem for singular spaces with trivial canonical class of dimension at most five},
author = {Stéphane Druel},
journal= {arXiv preprint arXiv:1606.09006},
year = {2016}
}