{
  "id": "1210.1903",
  "version": "v2",
  "published": "2012-10-06T01:23:37.000Z",
  "updated": "2013-08-01T20:49:16.000Z",
  "title": "On $(2,4)$ complete intersection threefolds that contain an Enriques surface",
  "authors": [
    "Lev A. Borisov",
    "Howard J. Nuer"
  ],
  "comment": "30 pages, 1 figure. Added arguments so that most Macaulay calculations are not needed anymore",
  "categories": [
    "math.AG"
  ],
  "abstract": "We study nodal complete intersection threefolds of type $(2,4)$ in $\\PP^5$ which contain an Enriques surface in its Fano embedding. We completely determine Calabi-Yau birational models of a generic such threefold. These models have Hodge numbers $(h^{11},h^{12})=(2,32)$. We also describe Calabi-Yau varieties with Hodge numbers equal to $(2,26)$, $(23,5)$ and $(31,1)$. The last two pairs of Hodge numbers are, to the best of our knowledge, new.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-08-01T20:49:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J32",
      "14J28"
    ],
    "keywords": [
      "enriques surface",
      "study nodal complete intersection threefolds",
      "determine calabi-yau birational models",
      "hodge numbers equal"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 30,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1210.1903B"
    }
  }
}