{
  "id": "1407.3294",
  "version": "v2",
  "published": "2014-07-11T20:41:22.000Z",
  "updated": "2016-03-02T15:38:02.000Z",
  "title": "Kodaira-Saito vanishing and applications",
  "authors": [
    "Mihnea Popa"
  ],
  "comment": "33 pages; final version, with expository improvements, updates, and substantial additions in the background sections",
  "categories": [
    "math.AG"
  ],
  "abstract": "The first part of the paper contains a detailed proof of M. Saito's generalization of the Kodaira vanishing theorem, following the original argument and with ample background, based on a lecture given at a Clay workshop on mixed Hodge modules. The second part contains some recent applications, and a Kawamata-Viehweg-type statement in the setting of mixed Hodge modules.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-07-11T20:41:22.000Z",
      "comment": "31 pages",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2016-03-02T15:38:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14F17",
      "14F10",
      "14C30"
    ],
    "keywords": [
      "kodaira-saito vanishing",
      "applications",
      "mixed hodge modules",
      "second part contains",
      "paper contains"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 33,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1407.3294P"
    }
  }
}