{
  "id": "math/0203210",
  "version": "v2",
  "published": "2002-03-20T15:07:02.000Z",
  "updated": "2002-06-03T08:39:33.000Z",
  "title": "Quasialgebraicity of Picard--Vessiot fields",
  "authors": [
    "Dmitry Novikov",
    "Sergei Yakovenko"
  ],
  "comment": "39 pages (AmSLaTeX/amsart). Second revision: typos corrected, one figure added",
  "journal": "Mosc. Math. J. 3 (2003), no. 2, 551--591, 744",
  "categories": [
    "math.DS",
    "math.AG",
    "math.CV"
  ],
  "abstract": "We prove that under certain spectral assumptions on the monodromy group, solutions of Fuchsian systems of linear equations on the Riemann sphere admit explicit global bounds on the number of their isolated zeros.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2002-06-03T08:39:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "34C08",
      "34M10",
      "34M15",
      "14Q20",
      "32S40",
      "32S65"
    ],
    "keywords": [
      "picard-vessiot fields",
      "sphere admit explicit global bounds",
      "riemann sphere admit explicit global",
      "quasialgebraicity",
      "fuchsian systems"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "AMS-TeX",
      "pages": 39,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math......3210N"
    }
  }
}