{
  "id": "1709.06788",
  "version": "v1",
  "published": "2017-09-20T09:43:28.000Z",
  "updated": "2017-09-20T09:43:28.000Z",
  "title": "Seshadri constants on hyperelliptic surfaces",
  "authors": [
    "Krishna Hanumanthu",
    "Praveen Kumar Roy"
  ],
  "comment": "14 pages, comments welcome",
  "categories": [
    "math.AG"
  ],
  "abstract": "We prove new results on single point Seshadri constants for ample line bundles on hyperelliptic surfaces. Given a hyperelliptic surface $X$ and an ample line bundle $L$ on $X$, we show that the least Seshadri constant $\\varepsilon(L)$ of $L$ is a rational number when $X$ is not of type 6. We also prove new lower bounds for the Seshadri constant $\\varepsilon(L,1)$ of $L$ at a very general point.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-09-20T09:43:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14C20"
    ],
    "keywords": [
      "hyperelliptic surface",
      "ample line bundle",
      "single point seshadri constants",
      "general point",
      "lower bounds"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}