{
  "id": "1011.1061",
  "version": "v1",
  "published": "2010-11-04T05:22:29.000Z",
  "updated": "2010-11-04T05:22:29.000Z",
  "title": "Surfaces with $p_g = 0$, $K^2 = 5$ and bicanonical maps of degree 4",
  "authors": [
    "Lei Zhang"
  ],
  "comment": "35pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "Let $S$ be a minimal surface of general type with $p_g(S) = 0, K_S^2 = 5$ and bicanonical map of degree 4. Denote by $\\Sigma$ the bicanonical image. If $\\Sigma$ is smooth, then $S$ is a Burniat surface; and if $\\Sigma$ is singular, then we reduced $\\Sigma$ to one case and described it, furthermore $S$ has at most one $(-2)$-curve.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-11-04T05:22:29.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "bicanonical map",
      "minimal surface",
      "general type",
      "burniat surface"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 35,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1011.1061Z"
    }
  }
}