{
  "id": "2408.11738",
  "version": "v1",
  "published": "2024-08-21T16:02:27.000Z",
  "updated": "2024-08-21T16:02:27.000Z",
  "title": "Existence of complements for foliations",
  "authors": [
    "Yen-An Chen",
    "Dongchen Jiao",
    "Pascale Voegtli"
  ],
  "comment": "12 pages. Comments are welcomed",
  "categories": [
    "math.AG"
  ],
  "abstract": "This paper demonstrates the existence of $\\mathbb{Q}$-complements for algebraically integrable log-Fano foliations on klt ambient varieties. Additionally, we investigate properties of algebraically integrable Fano foliations such as a partial inversion of adjunction as well as a connectedness principle.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-08-21T16:02:27.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "complements",
      "klt ambient varieties",
      "algebraically integrable log-fano foliations",
      "paper demonstrates",
      "algebraically integrable fano foliations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}