{
  "id": "1201.3266",
  "version": "v3",
  "published": "2012-01-16T14:20:29.000Z",
  "updated": "2013-01-10T22:42:47.000Z",
  "title": "Trilinear forms and Chern classes of Calabi-Yau threefolds",
  "authors": [
    "Atsushi Kanazawa",
    "P. M. H. Wilson"
  ],
  "comment": "to appear in Osaka Journal of Mathematics",
  "categories": [
    "math.AG",
    "math-ph",
    "math.MP"
  ],
  "abstract": "Let X be a Calabi-Yau threefold and \\mu the symmetric trilinear form on the second cohomology group H^{2}(X,\\Z) defined by the cup product. We investigate the interplay between the Chern classes c_{2}(X), c_{3}(X) and the trilinear form \\mu, and demonstrate some numerical relations between them. When the cubic form \\mu(x,x,x) has a linear factor over \\R, some properties of the linear form and the residual quadratic form are also obtained.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2013-01-10T22:42:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J32",
      "14F45"
    ],
    "keywords": [
      "calabi-yau threefold",
      "chern classes",
      "symmetric trilinear form",
      "second cohomology group",
      "residual quadratic form"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1201.3266K"
    }
  }
}