{
  "id": "1611.06679",
  "version": "v1",
  "published": "2016-11-21T08:31:13.000Z",
  "updated": "2016-11-21T08:31:13.000Z",
  "title": "Hyper-Kaehler compactification of the intermediate Jacobian fibration of a cubic fourfold : the twisted case",
  "authors": [
    "Claire Voisin"
  ],
  "categories": [
    "math.AG"
  ],
  "abstract": "This inaugural note provides first of all a short survey of hyper-Kaehler geometry, then an introduction to my recent paper with Laza and Sacc\\`a on the construction of deformations of O'Grady's $10$-dimensional manifolds as compactifications of intermediate Jacobian fibrations associated to cubic fourfolds, and finally a complement to that paper consisting in the analogous construction in the twisted case, leading to isogenous but presumably not isomorphic or birational hyper-Kaehler manifolds.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-11-21T08:31:13.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "intermediate jacobian fibration",
      "cubic fourfold",
      "twisted case",
      "hyper-kaehler compactification",
      "birational hyper-kaehler manifolds"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}