{
  "abstract": "Let $X$ be a Jacobian elliptic surface with finite Mordell-Weil group and exactly one reducible fiber. We prove that if $χ(\\mathcal O_X)\\ge ρ(X)$, then the Mori cone of $X$ is simplicial. As an application, assuming additionally $q(X)=0$, we show that $X$ satisfies the bounded cohomology property (BCP): there exists a constant $c_X>0$ such that $h^1(\\mathcal O_X(C))\\le c_X h^0(\\mathcal O_X(C))$ for every curve $C$ on $X$. We also establish a necessary and sufficient condition for the BCP to hold on minimal smooth projective surfaces $Y$ with $κ(Y)\\ge 1$, $q(Y)=0$, and rational polyhedral Mori cones.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.00592",
  "author_total": 1,
  "authors": [
    {
      "name": "Sichen Li"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/6vpsyewx5h5qj.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.00592",
  "fulltext_url": null,
  "id": "6vpsyewx5h5qj",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.00592",
  "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": "W7206205900",
  "pdf_url": "https://arxiv.org/pdf/2609.00592",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/6vpsyewx5h5qj.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:04Z",
      "native_id": "2609.00592",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.00592"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Bounded cohomology property on Jacobian elliptic surfaces with simplicial Mori cones",
  "title_text": "Bounded cohomology property on Jacobian elliptic surfaces with simplicial Mori cones",
  "type": "preprint",
  "updated_at": "2026-10-30T12:18:04Z",
  "url": "https://research.draconitic.com/paper/6vpsyewx5h5qj",
  "venue": "arXiv",
  "versions": []
}