{
  "id": "1905.12039",
  "version": "v1",
  "published": "2019-05-28T19:18:12.000Z",
  "updated": "2019-05-28T19:18:12.000Z",
  "title": "Weak Lefschetz Theorem for Simplicial PL-spheres",
  "authors": [
    "Kalle Karu"
  ],
  "comment": "17 pages",
  "categories": [
    "math.CO",
    "math.AC",
    "math.AG"
  ],
  "abstract": "We prove the Weak Lefschetz theorem for simplicial PL-spheres. This result is weaker than the Hard Lefschetz theorem for more general spheres proved by Adiprasito (arXiv:1812.10454), but the proof here involves simple algebra and avoids the more complicated combinatorics.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-05-28T19:18:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "13F55",
      "14M25",
      "05E45"
    ],
    "keywords": [
      "weak lefschetz theorem",
      "simplicial pl-spheres",
      "hard lefschetz theorem",
      "general spheres",
      "simple algebra"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}