{
  "id": "1212.5714",
  "version": "v2",
  "published": "2012-12-22T18:35:05.000Z",
  "updated": "2013-11-27T21:51:59.000Z",
  "title": "Kodaira dimension and zeros of holomorphic one-forms",
  "authors": [
    "Mihnea Popa",
    "Christian Schnell"
  ],
  "comment": "9 pages; final version, to appear in Ann. of Math",
  "categories": [
    "math.AG"
  ],
  "abstract": "We show that every holomorphic one-form on a smooth complex projective variety of general type must vanish at some point. The proof uses generic vanishing theory for Hodge D-modules on abelian varieties.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-11-27T21:51:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14E30",
      "14F10"
    ],
    "keywords": [
      "holomorphic one-form",
      "kodaira dimension",
      "smooth complex projective variety",
      "generic vanishing theory",
      "abelian varieties"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1212.5714P"
    }
  }
}