{
  "id": "1105.2181",
  "version": "v4",
  "published": "2011-05-11T13:21:52.000Z",
  "updated": "2013-03-19T14:18:12.000Z",
  "title": "Koszul duality and mixed Hodge modules",
  "authors": [
    "Pramod N. Achar",
    "S. Kitchen"
  ],
  "comment": "26 pages. v4: added Proposition 3.9; streamlined Section 4; other minor corrections",
  "categories": [
    "math.RT",
    "math.AG"
  ],
  "abstract": "We prove that on a certain class of smooth complex varieties (those with \"affine even stratifications\"), the category of mixed Hodge modules is \"almost\" Koszul: it becomes Koszul after a few unwanted extensions are eliminated. We also give an equivalence between perverse sheaves on such a variety and modules for a certain graded ring, obtaining a formality result as a corollary. For flag varieties, these results were proved earlier by Beilinson-Ginzburg-Soergel using a rather different construction.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2013-03-19T14:18:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "16S37",
      "14D07",
      "18E30",
      "16E45"
    ],
    "keywords": [
      "mixed hodge modules",
      "koszul duality",
      "smooth complex varieties",
      "flag varieties",
      "perverse sheaves"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1105.2181A"
    }
  }
}