{
  "id": "0710.3568",
  "version": "v1",
  "published": "2007-10-18T17:52:23.000Z",
  "updated": "2007-10-18T17:52:23.000Z",
  "title": "A criterion for an abelian variety to be simple",
  "authors": [
    "Thomas Bauer"
  ],
  "categories": [
    "math.AG"
  ],
  "abstract": "In this note we give a numerical criterion that expresses the condition that an abelian variety be simple in terms of an invariant that is closely related to the s-invariant of Ein-Cutkosky-Lazarsfeld. The criterion yields new examples where s-invariants are irrational. It may also be viewed as a statement about the geometry of the ample cone.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-10-18T17:52:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14K05",
      "14C20"
    ],
    "keywords": [
      "abelian variety",
      "ample cone",
      "criterion yields",
      "s-invariant",
      "ein-cutkosky-lazarsfeld"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0710.3568B"
    }
  }
}