{
  "abstract": "In this paper, we apply a weaker version of Hodge atoms to show that a standard conic bundle over a smooth complex projective rational surface $S$ is irrational if $|2K_S+Δ|\\ne\\emptyset$, where $Δ$ is the discriminant divisor. This proves Shokurov's conjecture on rationality of conic bundle threefolds. As an application, we deduce precisely which nodal quartic double solids are rational.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.41174",
  "author_total": 4,
  "authors": [
    {
      "name": "Leonardo F. Cavenaghi"
    },
    {
      "name": "Ludmil Katzarkov"
    },
    {
      "name": "Daniel Pomerleano"
    },
    {
      "name": "Zhijia Zhang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/a45hb1m713mph.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.41174",
  "fulltext_url": null,
  "id": "a45hb1m713mph",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.41174",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.AG"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2610.41174",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-30",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/a45hb1m713mph.ris",
  "sources": [
    {
      "first_seen": "2026-11-02T12:21:20Z",
      "native_id": "2610.41174",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.41174"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "An atomic approach to Shokurov's conic-bundle conjecture",
  "title_text": "An atomic approach to Shokurov's conic-bundle conjecture",
  "type": "preprint",
  "updated_at": "2026-11-04T15:20:52Z",
  "url": "https://research.draconitic.com/paper/a45hb1m713mph",
  "venue": "arXiv",
  "versions": []
}