{
  "id": "1606.09006",
  "version": "v1",
  "published": "2016-06-29T08:59:21.000Z",
  "updated": "2016-06-29T08:59:21.000Z",
  "title": "A decomposition theorem for singular spaces with trivial canonical class of dimension at most five",
  "authors": [
    "Stéphane Druel"
  ],
  "categories": [
    "math.AG"
  ],
  "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-06-29T08:59:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J32",
      "37F75",
      "14E30"
    ],
    "keywords": [
      "singular spaces",
      "irreducible holomorphic symplectic varieties",
      "beauville-bogomolov decomposition theorem",
      "numerically trivial canonical class admits",
      "abelian variety"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}