{
  "id": "math/0607221",
  "version": "v2",
  "published": "2006-07-08T20:58:28.000Z",
  "updated": "2008-01-10T16:33:29.000Z",
  "title": "Restricted volumes and base loci of linear series",
  "authors": [
    "Lawrence Ein",
    "Robert Lazarsfeld",
    "Mircea Mustata",
    "Michael Nakamaye",
    "Mihnea Popa"
  ],
  "comment": "Latex, 38 pages; v.2: final version. To appear in the American Journal of Mathematics",
  "categories": [
    "math.AG"
  ],
  "abstract": "We introduce and study the restricted volume of a divisor along a subvariety. Our main result is a description of the irreducible components of the augmented base locus by the vanishing of the restricted volume.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-01-10T16:33:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14C20",
      "14E15",
      "14E05"
    ],
    "keywords": [
      "restricted volume",
      "linear series",
      "main result",
      "augmented base locus"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 38,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......7221E"
    }
  }
}