{
  "id": "2410.11109",
  "version": "v1",
  "published": "2024-10-14T21:39:52.000Z",
  "updated": "2024-10-14T21:39:52.000Z",
  "title": "Generic Vanishing for Singular Varieties via Du Bois complexes",
  "authors": [
    "Anh Duc Vo"
  ],
  "comment": "23 pages. Comments are welcome!",
  "categories": [
    "math.AG"
  ],
  "abstract": "We prove appropriate generic vanishing theorems for singular varieties, generalizing the well-known generic vanishing theorem by Green and Lazarsfeld in [GL87] and the generic vanishing theorem of Nakano type in [PS13]. Our theorem explains the counterexample of Hacon and Kov\\'acs in [HK15].",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-10-14T21:39:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14F17",
      "32L20",
      "32S35"
    ],
    "keywords": [
      "singular varieties",
      "bois complexes",
      "appropriate generic vanishing theorems",
      "well-known generic vanishing theorem",
      "nakano type"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}