{
  "id": "1210.5175",
  "version": "v2",
  "published": "2012-10-18T16:27:07.000Z",
  "updated": "2013-06-10T08:44:19.000Z",
  "title": "On a notion of speciality of linear systems in P^n",
  "authors": [
    "Maria Chiara Brambilla",
    "Olivia Dumitrescu",
    "Elisa Postinghel"
  ],
  "comment": "26 pages. Minor changes, Definition 3.2 slightly extended. Accepted for publication in Transactions of AMS",
  "categories": [
    "math.AG",
    "math.AC"
  ],
  "abstract": "Given a linear system in P^n with assigned multiple general points we compute the cohomology groups of its strict transforms via the blow-up of its linear base locus. This leads us to give a new definition of expected dimension of a linear system, which takes into account the contribution of the linear base locus, and thus to introduce the notion of linear speciality. We investigate such a notion giving sufficient conditions for a linear system to be linearly non-special for arbitrary number of points, and necessary conditions for small numbers of points.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-06-10T08:44:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14C20",
      "14J70",
      "14C17"
    ],
    "keywords": [
      "linear system",
      "linear base locus",
      "assigned multiple general points",
      "notion giving sufficient conditions",
      "strict transforms"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1210.5175C"
    }
  }
}