{
  "abstract": "Let $X$ be an $n$-dimensional smooth complex projective variety admitting an int-amplified Galois endomorphism. We prove that its maximal rationally connected fibration is represented by a smooth toric fibration over a smooth $Q$-abelian variety. Consequently, if $X$ is rationally connected, then it is toric. If it also has Picard number one, then $X\\cong \\mathbf{P}^n$. As another application, we prove that such $X$ is of log Calabi-Yau type as conjectured by Gongyo.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.05248",
  "author_total": 2,
  "authors": [
    {
      "name": "Zhiyuan Jiang"
    },
    {
      "name": "Yujie Luo"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/5gsjv9vs46nz3.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.05248",
  "fulltext_url": null,
  "id": "5gsjv9vs46nz3",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.05248",
  "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": "W7220742461",
  "pdf_url": "https://arxiv.org/pdf/2610.05248",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-04",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/5gsjv9vs46nz3.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:10Z",
      "native_id": "2610.05248",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.05248"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Varieties Admitting Polarized Galois Endomorphisms",
  "title_text": "Varieties Admitting Polarized Galois Endomorphisms",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:10Z",
  "url": "https://research.draconitic.com/paper/5gsjv9vs46nz3",
  "venue": "arXiv",
  "versions": []
}