{
  "id": "math/9912003",
  "version": "v1",
  "published": "1999-12-01T09:46:19.000Z",
  "updated": "1999-12-01T09:46:19.000Z",
  "title": "Parabolic bundles and representations of the fundamental group",
  "authors": [
    "Tomas L. Gomez",
    "T. R. Ramadas"
  ],
  "comment": "13 pages, 1 figure, LaTeX2e",
  "categories": [
    "math.AG"
  ],
  "abstract": "Let X be as smooth complex projective variety with Neron-Severi group isomorphic to Z, and D an irreducible divisor with normal crossing singularities. Assume r is equal to 2 or 3. We prove that if the fundamental group of X doesn't have irreducible PU(r) representations, then the fundamental group of X-D doesn't have irreducible U(r) representations. The proof uses the non-existence of certain stable parabolic bundles. We also obtain a similar result for GL(2) when D is smooth and X is a complex surface.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1999-12-01T09:46:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14F35",
      "14F05",
      "14D20"
    ],
    "keywords": [
      "fundamental group",
      "representations",
      "smooth complex projective variety",
      "neron-severi group isomorphic",
      "complex surface"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1999math.....12003G"
    }
  }
}