{
  "id": "math/0112096",
  "version": "v1",
  "published": "2001-12-11T04:24:39.000Z",
  "updated": "2001-12-11T04:24:39.000Z",
  "title": "Projective moduli space of semistable principal sheaves for a reductive group",
  "authors": [
    "Tomas L. Gomez",
    "Ignacio Sols"
  ],
  "comment": "10 pages, LaTeX2e. Submitted to the conference proceedings of \"Commutative Algebra and Algebraic Geometry\", Catania, April 2001",
  "categories": [
    "math.AG"
  ],
  "abstract": "Let X be a smooth projective complex variety, and let G be an algebraic reductive complex group. We define the notion of principal G-sheaf, that generalises the notion of principal G-bundle. Then we define a notion of semistability, and construct the projective moduli space of semistable principal G-sheaves on X. This is a natural compactification of the moduli space of principal G-bundles. This is the announcement note presented by the second author in the conference held at Catania (11-13 April 2001), dedicated to the 60th birthday of Silvio Greco. Detailed proofs will appear elsewhere.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-12-11T04:24:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14D22",
      "14D20"
    ],
    "keywords": [
      "projective moduli space",
      "semistable principal sheaves",
      "reductive group",
      "principal g-bundle",
      "smooth projective complex variety"
    ],
    "tags": [
      "conference paper"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math.....12096G"
    }
  }
}