{
  "id": "2309.01031",
  "version": "v1",
  "published": "2023-09-02T22:30:20.000Z",
  "updated": "2023-09-02T22:30:20.000Z",
  "title": "Comparison and uniruledness of asymptotic base loci",
  "authors": [
    "Nikolaos Tsakanikas",
    "Zhixin Xie"
  ],
  "categories": [
    "math.AG"
  ],
  "abstract": "We prove that the asymptotic base loci of a klt generalized pair with big canonical class are uniruled. We also show that the non-nef locus and the diminished base locus of the adjoint divisor of a log canonical generalized pair coincide. As applications, we study the uniruledness of the asymptotic base loci associated with pseudo-effective divisors on generalized log Calabi-Yau type varieties.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-09-02T22:30:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14C20",
      "14E30"
    ],
    "keywords": [
      "base locus",
      "asymptotic base loci",
      "uniruledness",
      "generalized log calabi-yau type varieties",
      "comparison"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}