{
  "id": "0801.3534",
  "version": "v1",
  "published": "2008-01-23T09:30:23.000Z",
  "updated": "2008-01-23T09:30:23.000Z",
  "title": "On some smooth projective two-orbits varieties with Picard number 1",
  "authors": [
    "Boris Pasquier"
  ],
  "comment": "32 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "We classify all smooth projective horospherical varieties with Picard number 1. We prove that the automorphism group of any such variety X acts with at most two orbits and that this group still acts with only two orbits on X blown up at the closed orbit. We characterize all smooth projective two-orbits varieties with Picard number 1 that satisfy this latter property.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-01-23T09:30:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J45",
      "14L30",
      "14M17"
    ],
    "keywords": [
      "smooth projective two-orbits varieties",
      "picard number",
      "smooth projective horospherical varieties",
      "automorphism group",
      "closed orbit"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 32,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}