{
  "id": "2410.15638",
  "version": "v1",
  "published": "2024-10-21T04:56:55.000Z",
  "updated": "2024-10-21T04:56:55.000Z",
  "title": "Lefschetz theorems, Q-factoriality, and Hodge symmetry for singular varieties",
  "authors": [
    "Sung Gi Park",
    "Mihnea Popa"
  ],
  "comment": "50 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "We prove a number of new results concerning the topology and Hodge theory of singular varieties. A common theme is that concrete conditions on the complexity of the singularities are closely related to the symmetries of the Hodge-Du Bois diamond.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-10-21T04:56:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14B05",
      "14C30",
      "14F10",
      "32S35"
    ],
    "keywords": [
      "singular varieties",
      "hodge symmetry",
      "lefschetz theorems",
      "q-factoriality",
      "hodge-du bois diamond"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 50,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}