{
  "id": "1710.10113",
  "version": "v1",
  "published": "2017-10-27T13:03:22.000Z",
  "updated": "2017-10-27T13:03:22.000Z",
  "title": "The Picard group of the moduli of smooth complete intersections of two quadrics",
  "authors": [
    "Shamil Asgarli",
    "Giovanni Inchiostro"
  ],
  "comment": "25 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "We study the moduli space of smooth complete intersections of two quadrics in $\\mathbb{P}^n$ by relating it to the geometry of the singular members of the corresponding pencils. Giving an alternative presentation for the moduli space of complete intersections, we compute the Picard group for all $n\\geq 3$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-10-27T13:03:22.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "smooth complete intersections",
      "picard group",
      "moduli space",
      "singular members",
      "corresponding pencils"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}