{
  "id": "0910.2717",
  "version": "v2",
  "published": "2009-10-14T20:04:52.000Z",
  "updated": "2010-03-12T14:37:29.000Z",
  "title": "Singular del Pezzo surfaces that are equivariant compactifications",
  "authors": [
    "Ulrich Derenthal",
    "Daniel Loughran"
  ],
  "comment": "14 pages, main result extended to non-closed ground fields",
  "categories": [
    "math.AG",
    "math.NT"
  ],
  "abstract": "We determine which singular del Pezzo surfaces are equivariant compactifications of G_a^2, to assist with proofs of Manin's conjecture for such surfaces. Additionally, we give an example of a singular quartic del Pezzo surface that is an equivariant compactification of a semidirect product of G_a and G_m.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-03-12T14:37:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14L30",
      "14J26",
      "11D45"
    ],
    "keywords": [
      "singular del pezzo surfaces",
      "equivariant compactification",
      "singular quartic del pezzo surface",
      "semidirect product",
      "manins conjecture"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0910.2717D"
    }
  }
}