{
  "id": "1602.04360",
  "version": "v1",
  "published": "2016-02-13T17:47:26.000Z",
  "updated": "2016-02-13T17:47:26.000Z",
  "title": "Smooth projective varieties with a torus action of complexity 1 and Picard number 2",
  "authors": [
    "Anne Fahrner",
    "Juergen Hausen",
    "Michele Nicolussi"
  ],
  "comment": "21 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "We give an explicit description of all smooth varieties with a torus action of complexity one having Picard number at most two. As a consequence, we classify in every dimension the smooth (almost) Fano varieties with a torus action of complexity one having Picard number two.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-02-13T17:47:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J45",
      "14L30"
    ],
    "keywords": [
      "torus action",
      "picard number",
      "smooth projective varieties",
      "complexity",
      "explicit description"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160204360F"
    }
  }
}