{
  "id": "0806.4488",
  "version": "v1",
  "published": "2008-06-27T11:11:17.000Z",
  "updated": "2008-06-27T11:11:17.000Z",
  "title": "Seshadri constants on the self-product of an elliptic curve",
  "authors": [
    "Thomas Bauer",
    "Christoph Schulz"
  ],
  "categories": [
    "math.AG"
  ],
  "abstract": "The purpose of this paper is to study Seshadri constants on the self-product $E\\times E$ of an elliptic curve $E$. We provide explicit formulas for computing the Seshadri constants of all ample line bundles on the surfaces considered. As an application, we obtain a good picture of the behaviour of the Seshadri function on the nef cone.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-06-27T11:11:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14C20",
      "14J25",
      "14K05"
    ],
    "keywords": [
      "elliptic curve",
      "self-product",
      "study seshadri constants",
      "ample line bundles",
      "explicit formulas"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0806.4488B"
    }
  }
}