{
  "id": "2012.11194",
  "version": "v1",
  "published": "2020-12-21T09:19:06.000Z",
  "updated": "2020-12-21T09:19:06.000Z",
  "title": "Moduli of Admissible Pairs for Arbitrary Dimension, I: Resolution",
  "authors": [
    "Nadezhda V. Timofeeva"
  ],
  "comment": "21 p. arXiv admin note: text overlap with arXiv:1711.07816",
  "categories": [
    "math.AG"
  ],
  "abstract": "The procedure of resolution for a flat family of torsion-free coherent sheaves on a non-singular N-dimensional projective algebraic variety into the flat family of locally free sheaves on projective schemes of certain class is proposed. This is higher-dimensional analogue of standard resolution of coherent sheaves on a surface. The consideration is applicable to all families of torsion-free sheaves as they exist, including those containing no locally free sheaves.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-12-21T09:19:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14F06",
      "14D20",
      "14D06"
    ],
    "keywords": [
      "arbitrary dimension",
      "admissible pairs",
      "resolution",
      "locally free sheaves",
      "non-singular n-dimensional projective algebraic variety"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}