{
  "id": "2305.16096",
  "version": "v1",
  "published": "2023-05-25T14:28:03.000Z",
  "updated": "2023-05-25T14:28:03.000Z",
  "title": "Collapsing of $ALH^*$-Gravitational Instantons",
  "authors": [
    "Yu-Shen Lin",
    "Ryosuke Takahashi"
  ],
  "comment": "21 pages. All comments are welcome!",
  "categories": [
    "math.DG"
  ],
  "abstract": "We showed that a sequence of ALH*-gravitational instantons from pairs consisting of a weak del Pezzo surface and a smooth anti-canonical divisor towards a large complex structure limit introduced by Collins, Jacobs and the first author collapsing to a punctured plane with a special Kahler metric, which can be viewed as a non-compact version of the collapsing result of Gross-Wilson. We provide a partial compactification of the moduli space of pointed ALH*-gravitational instantons with respect to the pointed Gromov-Hausdorff topology and locally is a polyhedron complex.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-05-25T14:28:03.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "gravitational instantons",
      "collapsing",
      "weak del pezzo surface",
      "large complex structure limit",
      "special kahler metric"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}