{
  "id": "0712.0792",
  "version": "v1",
  "published": "2007-12-05T18:53:16.000Z",
  "updated": "2007-12-05T18:53:16.000Z",
  "title": "Tempered solutions of $\\mathcal D$-modules on complex curves and formal invariants",
  "authors": [
    "Giovanni Morando"
  ],
  "comment": "31 pages",
  "categories": [
    "math.AG",
    "math.CV"
  ],
  "abstract": "Let $X$ be a complex analytic curve. In this paper we prove that the subanalytic sheaf of tempered holomorphic solutions of $\\mathcal D_X$-modules induces a fully faithful functor on a subcategory of germs of formal holonomic $\\mathcal D_X$-modules. Further, given a germ $\\mathcal M$ of holonomic $\\mathcal D_X$-module, we obtain some results linking the subanalytic sheaf of tempered solutions of $\\mathcal M$ and the classical formal and analytic invariants of $\\mathcal M$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-12-05T18:53:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "34M35",
      "32B20",
      "34Mxx"
    ],
    "keywords": [
      "tempered solutions",
      "complex curves",
      "formal invariants",
      "subanalytic sheaf",
      "complex analytic curve"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 31,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0712.0792M"
    }
  }
}