{
  "abstract": "Assuming projective log resolutions, we construct semiample perturbations over arbitrary fields that preserve all log canonical places. As an application, for divisor classes with finitely generated section rings, we characterize the existence of effective divisors yielding lc or klt pairs in terms of asymptotic orders of vanishing. We also derive minimal model and semiampleness results for generalized threefolds over $F$-finite fields of characteristic $p>5$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.07908",
  "author_total": 1,
  "authors": [
    {
      "name": "Dae-Won Lee"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1evz3d1apw6ac.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.07908",
  "fulltext_url": null,
  "id": "1evz3d1apw6ac",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.07908",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.AG"
    ],
    [
      "openalex",
      "2608|Algebraic Geometry and Number Theory"
    ]
  ],
  "openalex": "W7220976232",
  "pdf_url": "https://arxiv.org/pdf/2610.07908",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-06",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/1evz3d1apw6ac.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:26Z",
      "native_id": "2610.07908",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.07908"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Semiample perturbations over arbitrary fields",
  "title_text": "Semiample perturbations over arbitrary fields",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:26Z",
  "url": "https://research.draconitic.com/paper/1evz3d1apw6ac",
  "venue": "arXiv",
  "versions": []
}