{
  "id": "2406.03593",
  "version": "v1",
  "published": "2024-06-05T19:31:02.000Z",
  "updated": "2024-06-05T19:31:02.000Z",
  "title": "Du Bois complexes of cones over singular varieties, local cohomological dimension, and K-groups",
  "authors": [
    "Mihnea Popa",
    "Wanchun Shen"
  ],
  "comment": "18 pages; for a volume in memory of Lucian Badescu",
  "categories": [
    "math.AG"
  ],
  "abstract": "We compute the Du Bois complexes of abstract cones over singular varieties, and use this to describe the local cohomological dimension and the non-positive K-groups of such cones.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-06-05T19:31:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14B05",
      "14C30",
      "19E08"
    ],
    "keywords": [
      "local cohomological dimension",
      "singular varieties",
      "bois complexes",
      "abstract cones"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}