{
  "id": "1112.0425",
  "version": "v4",
  "published": "2011-12-02T10:58:33.000Z",
  "updated": "2012-11-09T11:12:22.000Z",
  "title": "Semiregularity and obstructions of complete intersections",
  "authors": [
    "Donatella Iacono",
    "Marco Manetti"
  ],
  "comment": "V2 typos corrected, 30 pages. V3 typos and references updated",
  "journal": "Advances in Mathematics 235 (2013) pag. 92-125",
  "doi": "10.1016/j.aim.2012.11.011",
  "categories": [
    "math.AG",
    "math.QA"
  ],
  "abstract": "We prove that, on a smooth projective variety over an algebraically closed field of characteristic 0, the semiregularity map annihilates every obstruction to embedded deformations of a local complete intersection subvariety with extendable normal bundle. The proof is based on the theory of L-infinity algebras and Tamarkin-Tsigan calculus on the de Rham complex of DG-schemes.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2012-11-09T11:12:22.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "obstruction",
      "local complete intersection subvariety",
      "semiregularity map annihilates",
      "smooth projective variety",
      "rham complex"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Elsevier",
      "journal": "Adv. Math."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 30,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1112.0425I"
    }
  }
}