{
  "abstract": "We prove that every strict Calabi--Yau threefold of Artin--Mazur height one over an algebraically closed field k of characteristic p>0 admits a projective lift to W(k). No assumption is made on the torsion in its crystalline cohomology, and p is arbitrary. Using the crystalline period map of Brantner and Taelman, we show that the obstruction to extending a lift over W_n(k) is the Bockstein of a torsion coordinate of its period point, and that this coordinate can always be made to vanish by varying the lift. The mixed-characteristic deformation functor need not be smooth: for a Calabi--Yau threefold of height one constructed by Addington and Bragg in characteristic 3, some lifts over W_2(k) do not extend over W_3(k). This disproves a conjecture of Achinger and Zdanowicz.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.37075",
  "author_total": 1,
  "authors": [
    {
      "name": "Matthew Ward"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/djnvmr0nww4ca.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.37075",
  "fulltext_url": null,
  "id": "djnvmr0nww4ca",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.37075",
  "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",
      "2608|Algebraic Geometry and Number Theory"
    ]
  ],
  "openalex": "W7224100412",
  "pdf_url": "https://arxiv.org/pdf/2610.37075",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-27",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/djnvmr0nww4ca.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:53Z",
      "native_id": "2610.37075",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.37075"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "All Strict Calabi--Yau Threefolds of Height One Lift to Characteristic 0",
  "title_text": "All Strict Calabi--Yau Threefolds of Height One Lift to Characteristic 0",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:53Z",
  "url": "https://research.draconitic.com/paper/djnvmr0nww4ca",
  "venue": "arXiv",
  "versions": []
}