{
  "abstract": "We prove that any Fano orbifold admits a free Campana curve in the sense of Campana. Moreover, assuming that any klt log Fano pair admits a very free rational curve in its smooth locus, we prove that any Fano orbifold is Campana rationally connected. As an application, we prove the finiteness of the orbifold fundamental groups for Fano orbifolds.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.37513",
  "author_total": 2,
  "authors": [
    {
      "name": "Brian Lehmann"
    },
    {
      "name": "Sho Tanimoto"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/b5nnnb1jntc2p.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.37513",
  "fulltext_url": null,
  "id": "b5nnnb1jntc2p",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.37513",
  "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": "W7214984281",
  "pdf_url": "https://arxiv.org/pdf/2609.37513",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/b5nnnb1jntc2p.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:26:07Z",
      "native_id": "2609.37513",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.37513"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Fano orbifolds admit free Campana curves",
  "title_text": "Fano orbifolds admit free Campana curves",
  "type": "preprint",
  "updated_at": "2026-10-30T12:26:07Z",
  "url": "https://research.draconitic.com/paper/b5nnnb1jntc2p",
  "venue": "arXiv",
  "versions": []
}