{
  "id": "1406.1339",
  "version": "v2",
  "published": "2014-06-05T11:19:44.000Z",
  "updated": "2015-04-02T17:13:27.000Z",
  "title": "On the irregular Hodge filtration of exponentially twisted mixed Hodge modules",
  "authors": [
    "Claude Sabbah",
    "Jeng-Daw Yu"
  ],
  "comment": "53 pages. V2: 56 pages, Introduction partly rewritten. Final revised version to appear in Forum of Mathematics Sigma",
  "categories": [
    "math.AG",
    "math.CV"
  ],
  "abstract": "Given a mixed Hodge module and a meromorphic function f on a complex manifold, we associate to these data a filtration (the irregular Hodge filtration) on the exponentially twisted holonomic module, which extends the construction of http://arxiv.org/abs/1302.4537. We show the strictness of the push-forward filtered D-module through any projective morphism, by using the theory of mixed twistor D-modules of T. Mochizuki. We consider the example of the rescaling of a regular function f, which leads to an expression of the irregular Hodge filtration of the Laplace transform of the Gauss-Manin systems of f in terms of the Harder-Narasimhan filtration of the Kontsevich bundles associated with f.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-06-05T11:19:44.000Z",
      "comment": "53 pages",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2015-04-02T17:13:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14F40",
      "32S35",
      "32S40"
    ],
    "keywords": [
      "irregular hodge filtration",
      "exponentially twisted mixed hodge modules",
      "complex manifold",
      "exponentially twisted holonomic module"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 53,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1406.1339S"
    }
  }
}