{
  "id": "1609.04192",
  "version": "v1",
  "published": "2016-09-14T09:41:20.000Z",
  "updated": "2016-09-14T09:41:20.000Z",
  "title": "Riemann-Hilbert correspondence for mixed twistor D-Modules",
  "authors": [
    "Teresa Monteiro Fernandes",
    "Claude Sabbah"
  ],
  "comment": "36 pages",
  "categories": [
    "math.AG",
    "math.CV"
  ],
  "abstract": "We introduce the notion of regularity for a relative holonomic $\\mathcal D$-module in the sense of arXiv:1204.1331. We prove that the solution functor from the bounded derived category of regular relative holonomic modules to that of relative constructible complexes is essentially surjective by constructing a right quasi-inverse functor. When restricted to relative $\\mathcal D$-modules underlying a regular mixed twistor $\\mathcal D$-module, this functor satisfies the left quasi-inverse property.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-09-14T09:41:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14F10",
      "32C38",
      "32S40",
      "32S60",
      "35Nxx",
      "58J10"
    ],
    "keywords": [
      "mixed twistor d-modules",
      "riemann-hilbert correspondence",
      "right quasi-inverse functor",
      "regular relative holonomic modules",
      "left quasi-inverse property"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 36,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}