{
  "id": "2409.18019",
  "version": "v2",
  "published": "2024-09-26T16:26:50.000Z",
  "updated": "2024-10-17T22:41:25.000Z",
  "title": "Injectivity and Vanishing for the Du Bois Complexes of Isolated Singularities",
  "authors": [
    "Mihnea Popa",
    "Wanchun Shen",
    "Anh Duc Vo"
  ],
  "comment": "26 pages; small corrections and additions made",
  "categories": [
    "math.AG"
  ],
  "abstract": "We prove an injectivity theorem for the cohomology of the Du Bois complexes of varieties with isolated singularities. We use this to deduce vanishing statements for the cohomologies of higher Du Bois complexes of such varieties. Besides some extensions and conjectures in the non-isolated case, we also provide analogues for intersection complexes.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2024-10-17T22:41:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14B05",
      "14F17",
      "32S35"
    ],
    "keywords": [
      "bois complexes",
      "isolated singularities",
      "injectivity theorem",
      "deduce vanishing statements",
      "cohomology"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}