{
  "id": "1802.00805",
  "version": "v1",
  "published": "2018-02-02T18:56:52.000Z",
  "updated": "2018-02-02T18:56:52.000Z",
  "title": "Stable pair compactifications of the moduli space of degree one del pezzo surfaces via elliptic fibrations, I",
  "authors": [
    "Kenneth Ascher",
    "Dori Bejleri"
  ],
  "comment": "30 pages, 4 figures. First in a series of papers on the subject. Comments welcome!",
  "categories": [
    "math.AG"
  ],
  "abstract": "A degree one del Pezzo surface is the blowup of P^2 at 8 general points. By the classical Cayley-Bacharach Theorem, there is a unique 9th point whose blowup produces a rational elliptic surface with a section. Via this relationship, we construct a stable pair compactification of the moduli space of anti-canonically polarized degree one del Pezzo surfaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-02-02T18:56:52.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "del pezzo surface",
      "stable pair compactification",
      "moduli space",
      "elliptic fibrations",
      "rational elliptic surface"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 30,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}