{
  "id": "1207.6299",
  "version": "v2",
  "published": "2012-07-26T15:32:33.000Z",
  "updated": "2013-10-15T10:33:36.000Z",
  "title": "Linear spaces of matrices of constant rank and instanton bundles",
  "authors": [
    "Ada Boralevi",
    "Daniele Faenzi",
    "Emilia Mezzetti"
  ],
  "comment": "Revised version, 22 pages. Brief intro to derived category tools and details to proof of Lemma 3.5 added, some typos corrected",
  "journal": "Advances in Mathematics 248 (2013), 895-920",
  "categories": [
    "math.AG"
  ],
  "abstract": "We present a new method to study 4-dimensional linear spaces of skew-symmetric matrices of constant co-rank 2, based on rank 2 vector bundles on P^3 and derived category tools. The method allows one to prove the existence of new examples of size 10x10 and 14x14 via instanton bundles of charge 2 and 4 respectively, and provides an explanation for what used to be the only known example (Westwick 1996). We also give an algorithm to construct explicitly a matrix of size 14 of this type.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-10-15T10:33:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J60",
      "15A30",
      "14F05"
    ],
    "keywords": [
      "instanton bundles",
      "linear spaces",
      "constant rank",
      "skew-symmetric matrices",
      "constant co-rank"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Elsevier",
      "journal": "Adv. Math."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1207.6299B"
    }
  }
}