{
  "id": "1009.3485",
  "version": "v3",
  "published": "2010-09-17T18:39:34.000Z",
  "updated": "2012-11-05T17:09:04.000Z",
  "title": "Moduli of parahoric $\\mathcal G$--torsors on a compact Riemann surface",
  "authors": [
    "V. Balaji",
    "C. S. Seshadri"
  ],
  "comment": "41 pages",
  "categories": [
    "math.AG",
    "math.RT"
  ],
  "abstract": "Let $X$ be an irreducible smooth projective algebraic curve of genus $g \\geq 2$ over the ground field $\\bc$ and let $G$ be a semisimple simply connected algebraic group. The aim of this paper is to introduce the notion of semistable and stable parahoric torsors under a certain Bruhat-Tits group scheme $\\mathcal G$ and construct the moduli space of semistable parahoric $\\mathcal G$--torsors; we also identify the underlying topological space of this moduli space with certain spaces of homomorphisms of Fuchsian groups into a maximal compact subgroup of $G$. The results give a generalization of the earlier results of Mehta and Seshadri on parabolic vector bundles. This is the final version of the accepted paper.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2012-11-05T17:09:04.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "compact riemann surface",
      "simply connected algebraic group",
      "moduli space",
      "parabolic vector bundles",
      "irreducible smooth projective algebraic curve"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 41,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1009.3485B"
    }
  }
}