{
  "abstract": "We propose an algorithm to compute the gap numbers of log canonical thresholds, anticanonical thresholds, and $\\mathbb{R}$-complementary thresholds for surface pairs with a given rational hyperstandard coefficient set. As an example, we compute these gap numbers for a special hyperstandard set that appears in the effective boundedness of $n$-complements for surface pairs.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.30020",
  "author_total": 2,
  "authors": [
    {
      "name": "Yang He"
    },
    {
      "name": "Vyacheslav V. Shokurov"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/c4yzgc7hwrtac.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.30020",
  "fulltext_url": null,
  "id": "c4yzgc7hwrtac",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.30020",
  "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": "W7223220696",
  "pdf_url": "https://arxiv.org/pdf/2610.30020",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-21",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/c4yzgc7hwrtac.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:22Z",
      "native_id": "2610.30020",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.30020"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "On the gap of thresholds",
  "title_text": "On the gap of thresholds",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:22Z",
  "url": "https://research.draconitic.com/paper/c4yzgc7hwrtac",
  "venue": "arXiv",
  "versions": []
}