{
  "id": "2012.13660",
  "version": "v1",
  "published": "2020-12-26T01:54:43.000Z",
  "updated": "2020-12-26T01:54:43.000Z",
  "title": "Moduli of Admissible Pairs for Arbitrary Dimension, II: Functors and Moduli",
  "authors": [
    "Nadezhda V. Timofeeva"
  ],
  "comment": "44 pages. arXiv admin note: text overlap with arXiv:1711.07816",
  "categories": [
    "math.AG"
  ],
  "abstract": "Morphisms between the moduli functor of admissible semistable pairs and the Gieseker -- Maruyama moduli functor (of semistable coherent torsion-free sheaves) with the same Hilbert polynomial on a non-singular $N$-dimensional projective algebraic variety, are constructed. It is shown that these functors are isomorphic, and the moduli scheme for semistable admissible pairs $((\\tilde S, \\tilde L), \\tilde E)$ is isomorphic to the Gieseker -- Maruyama moduli scheme. The considerations involve all components of moduli functors and corresponding moduli scheme as they exist. Bibliography: 17 items.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-12-26T01:54:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14D20",
      "14F06",
      "14J60"
    ],
    "keywords": [
      "admissible pairs",
      "arbitrary dimension",
      "maruyama moduli functor",
      "semistable coherent torsion-free sheaves",
      "dimensional projective algebraic variety"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 44,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}