{
  "id": "2108.08934",
  "version": "v1",
  "published": "2021-08-19T22:28:50.000Z",
  "updated": "2021-08-19T22:28:50.000Z",
  "title": "Stability condition on Calabi-Yau threefold of complete intersection of quadratic and quartic hypersurfaces",
  "authors": [
    "Shengxuan Liu"
  ],
  "comment": "28 pages, 1 figure, comments are very welcome! arXiv admin note: text overlap with arXiv:1810.03434 by other authors",
  "categories": [
    "math.AG"
  ],
  "abstract": "In this paper, we prove a Clifford type inequality for the curve $X_{2,2,2,4}$, which is the intersection of a quartic and three general quadratics in $\\mathbb{P}^5$. We thus prove a stronger Bogomolov-Gieseker inequality for characters of stable vector bundles and stable objects on $X_{2,4}$. Applying the scheme proposed by Bayer, Bertram, Macr\\`i, Stellari and Toda, we can construct an open subset of Bridgeland stability conditions on $X_{2,4}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-08-19T22:28:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14F05",
      "14J32",
      "18E30"
    ],
    "keywords": [
      "complete intersection",
      "calabi-yau threefold",
      "quartic hypersurfaces",
      "stronger bogomolov-gieseker inequality",
      "bridgeland stability conditions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 28,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}