{
  "id": "1007.4158",
  "version": "v1",
  "published": "2010-07-23T15:31:40.000Z",
  "updated": "2010-07-23T15:31:40.000Z",
  "title": "Preconstructibility of tempered solutions of holonomic D-modules",
  "authors": [
    "Giovanni Morando"
  ],
  "comment": "24 pages",
  "categories": [
    "math.AG",
    "math.CV"
  ],
  "abstract": "In this paper we prove the preconstructibility of the complex of tempered holomorphic solutions of holonomic D-modules on complex analytic manifolds. This implies the finiteness of such complex on any relatively compact open subanalytic subset of a complex analytic manifold. Such a result is an essential step for proving a conjecture of M. Kashiwara and P. Schapira (2003) on the constructibility of such complex.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-07-23T15:31:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "32C38",
      "32B20",
      "32S40",
      "14Fxx"
    ],
    "keywords": [
      "holonomic d-modules",
      "tempered solutions",
      "complex analytic manifold",
      "preconstructibility",
      "relatively compact open subanalytic subset"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1007.4158M"
    }
  }
}