{
  "id": "1702.05029",
  "version": "v1",
  "published": "2017-02-16T16:02:44.000Z",
  "updated": "2017-02-16T16:02:44.000Z",
  "title": "Smoothness of moduli space of stable torsion-free sheaves with fixed determinant in mixed characteristic",
  "authors": [
    "Inder Kaur"
  ],
  "comment": "14 pages, To appear in Proceedings of the conference on \"Analytic and Algebraic Geometry of Bundles\"",
  "categories": [
    "math.AG"
  ],
  "abstract": "Let $R$ be a complete discrete valuation ring with fraction field of characteristic $0$ and algebraically closed residue field of characteristic $p>0$. Let $X_R \\to \\mathrm{Spec}(R)$ be a smooth projective morphism of relative dimension $1$. We prove that, given a line bundle $\\mathcal{L}_R$ the moduli space of Gieseker stable torsion-free sheaves of rank $r\\geq 2$ over $X_R$, with determinant $\\mathcal{L}_R$, is smooth over $R$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-02-16T16:02:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J60",
      "14D20"
    ],
    "keywords": [
      "moduli space",
      "fixed determinant",
      "mixed characteristic",
      "smoothness",
      "gieseker stable torsion-free sheaves"
    ],
    "tags": [
      "conference paper"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}