{
  "id": "1308.0111",
  "version": "v2",
  "published": "2013-08-01T07:18:55.000Z",
  "updated": "2014-11-03T15:07:03.000Z",
  "title": "On a morphism of compactifications of moduli schemes of vector bundes",
  "authors": [
    "Nadezda Timofeeva"
  ],
  "comment": "14 pages. Result is the same, the proof is absolutely changed",
  "categories": [
    "math.AG"
  ],
  "abstract": "A morphism of nonreduced Gieseker - Maruyama functor (of semistable coherent torsion-free sheaves) on a surface to the nonreduced functor of admissible semistable pairs with the same Hilbert polynomial, is constructed. This leads to the morphism of moduli schemes with possibly nonreduced scheme structures. As usually, we consider subfunctors corresponding to main components of moduli schemes.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-08-01T07:18:55.000Z",
      "abstract": "A morphism of the (possibly nonreduced) Gieseker - Maruyama functor (of semistable coherent torsion-free sheaves) on a surface to the nonreduced functor of admissible semistable pairs with the same Hilbert polynomial, is constructed. This leads to the morphism of moduli schemes. As usually, we consider subfunctors corresponding to main components of moduli schemes.",
      "comment": "10 pages",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2014-11-03T15:07:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J60",
      "14D20"
    ],
    "keywords": [
      "moduli schemes",
      "vector bundes",
      "compactifications",
      "semistable coherent torsion-free sheaves",
      "maruyama functor"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1308.0111T"
    }
  }
}