{
  "abstract": "Let $X$ be an $n$-dimensional normal projective variety of Kodaira dimension $κ$ and $G$ an abelian subgroup of automorphisms such that all elements of $G\\backslash \\{\\mathrm{id}\\}$ are of positive entropy. Dinh and Sibony showed that $G$ is actually free abelian of rank $\\le n-κ-1$. In this paper, we show that after replacing $G$ by a finite-index subgroup, there exists a G-Equivariant Minimal Model Program for the pair $(X, G)$ when $\\mathrm{rank}(G)=n-κ-1$ and $κ>0$, and the very general fiber of the final model is a klt Calabi-Yau surface or a $Q$-abelian variety provided that the termination of flips holds in this setting.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.25778",
  "author_total": 1,
  "authors": [
    {
      "name": "Sichen Li"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/dbpw1j5gxnf37.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.25778",
  "fulltext_url": null,
  "id": "dbpw1j5gxnf37",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.25778",
  "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"
    ],
    [
      "arxiv",
      "math.DS"
    ],
    [
      "openalex",
      "2608|Algebraic Geometry and Number Theory"
    ]
  ],
  "openalex": "W7223042096",
  "pdf_url": "https://arxiv.org/pdf/2610.25778",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-19",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/dbpw1j5gxnf37.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:57Z",
      "native_id": "2610.25778",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.25778"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.DS",
      "subfield": "dynamical-systems"
    }
  ],
  "title": "Free abelian group actions on projective fibered varieties",
  "title_text": "Free abelian group actions on projective fibered varieties",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:44Z",
  "url": "https://research.draconitic.com/paper/dbpw1j5gxnf37",
  "venue": "arXiv",
  "versions": []
}