{
  "id": "1707.06429",
  "version": "v1",
  "published": "2017-07-20T09:51:20.000Z",
  "updated": "2017-07-20T09:51:20.000Z",
  "title": "Ulrich bundles on non-special surfaces with $p_g=0$ and $q=1$",
  "authors": [
    "Gianfranco Casnati"
  ],
  "comment": "14 pages",
  "categories": [
    "math.AG",
    "math.AC"
  ],
  "abstract": "Let $S$ be a surface with $p_g(S)=0$, $q(S)=1$ and endowed with a very ample line bundle $\\mathcal O_S(h)$ such that $h^1\\big(S,\\mathcal O_S(h)\\big)=0$. We show that such an $S$ supports families of dimension $p$ of pairwise non-isomorphic, indecomposable, Ulrich bundles for arbitrary large $p$. Moreover, we show that $S$ supports stable Ulrich bundles of rank $2$ if the genus of the general element in $\\vert h\\vert$ is at least $2$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-07-20T09:51:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J60",
      "14J26",
      "14J27",
      "14J28"
    ],
    "keywords": [
      "non-special surfaces",
      "ample line bundle",
      "supports stable ulrich bundles",
      "general element",
      "supports families"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}