{
  "id": "1503.03385",
  "version": "v1",
  "published": "2015-03-11T15:46:58.000Z",
  "updated": "2015-03-11T15:46:58.000Z",
  "title": "Quadro-quadric special birational transformations from projective spaces to smooth complete intersections",
  "authors": [
    "Qifeng Li"
  ],
  "categories": [
    "math.AG"
  ],
  "abstract": "Let \\phi: \\mathbb{P}^{r}\\dashrightarrow Z be a birational transformation with a smooth connected base locus scheme, where Z\\subseteq\\mathbb{P}^{r+c} is a nondegenerate prime Fano manifold. We call \\phi a quadro-quadric special briational transformation if \\phi and \\phi^{-1} are defined by linear subsystems of |\\mathcal{O}_{\\mathbb{P}^{r}}(2)| and |\\mathcal{O}_{Z}(2)| respectively. In this paper we classify quadro-quadric special birational transformations in the cases where either (i) Z is a complete intersection and the base locus scheme of \\phi^{-1} is smooth, or (ii) Z is a hypersurface.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-03-11T15:46:58.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "smooth complete intersections",
      "projective spaces",
      "smooth connected base locus scheme",
      "classify quadro-quadric special birational transformations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}