{
  "id": "1003.1866",
  "version": "v2",
  "published": "2010-03-09T13:20:04.000Z",
  "updated": "2010-04-02T11:50:13.000Z",
  "title": "Extensions of Picard stacks and their homological interpretation",
  "authors": [
    "Cristiana Bertolin"
  ],
  "comment": "more references",
  "journal": "J. of Algebra 331 (2011), no. 1, pp. 28--45",
  "categories": [
    "math.AG"
  ],
  "abstract": "Let S be a site. We introduce the notion of extensions of strictly commutative Picard S-stacks. We define the pull-back, the push-down, and the sum of such extensions and we compute their homological interpretation: if P and Q are two strictly commutative Picard S-stacks, the equivalence classes of extensions of P by Q are parametrized by the cohomology group Ext^1([P],[Q]), where [P] and [Q] are the complex associated to P and Q respectively.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-04-02T11:50:13.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "18G15"
    ],
    "keywords": [
      "homological interpretation",
      "picard stacks",
      "extensions",
      "strictly commutative picard s-stacks",
      "equivalence classes"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1003.1866B"
    }
  }
}