{
  "id": "2308.09680",
  "version": "v1",
  "published": "2023-08-18T17:04:58.000Z",
  "updated": "2023-08-18T17:04:58.000Z",
  "title": "Number of triple points on complete intersection Calabi-Yau threefolds",
  "authors": [
    "Kacper Grzelakowski"
  ],
  "categories": [
    "math.AG"
  ],
  "abstract": "We discuss bounds for the number of ordinary triple points on complete intersection Calabi-Yau threefolds in projective spaces and for Calabi-Yau threefolds in weighted projective spaces. In particular, we show that in P5 the intersection of a quadric and a quartic cannot have more than 10 ordinary triple points. We provide examples of complete intersection Calabi-Yau threefolds with multiple triple points. We obtain the exact bound for a sextic hypersurface in P[1 : 1 : 1 : 1 : 2], which is 10. We also discuss Calabi-Yau threefolds that cannot admit triple points.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-08-18T17:04:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J17",
      "14J30"
    ],
    "keywords": [
      "complete intersection calabi-yau threefolds",
      "ordinary triple points",
      "multiple triple points",
      "projective spaces",
      "admit triple points"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}