{
  "id": "2411.18528",
  "version": "v1",
  "published": "2024-11-27T17:20:48.000Z",
  "updated": "2024-11-27T17:20:48.000Z",
  "title": "O'Grady's tenfolds from stable bundles on hyper-Kähler fourfolds",
  "authors": [
    "Alessio Bottini"
  ],
  "comment": "52 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "We provide a modular construction of the Laza--Sacc\\`a--Voisin compactification of the intermediate Jacobian fibration of a cubic fourfold. Additionally, we construct infinitely many $20$-dimensional families of polarized hyper-K\\\"ahler manifolds of type OG10, realized as moduli spaces of stable bundles on hyper-K\\\"ahler manifolds of type $\\mathrm{K3}^{[2]}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-11-27T17:20:48.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "stable bundles",
      "hyper-kähler fourfolds",
      "ogradys tenfolds",
      "intermediate jacobian fibration",
      "type og10"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 52,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}