{
  "abstract": "Recent work of Brantner and Taelman shows that derived deformation theory and period maps can recover strong mixed-characteristic lifting results. In this paper, we develop a prismatic version of this method for Calabi--Yau varieties over transversal or crystalline prisms, constructing compatible deformations over $A/I^n$ for every $n$ under suitable hypotheses. We also apply our method to $F$-split Calabi--Yau varieties over a field $k$ of characteristic $p>2$. In particular, we consider an $F$-split smooth proper variety $X$ of dimension $d$ over an algebraically closed field $k$ of characteristic $p>2$, with $H^{d-1}(X,O_X)=0$ and trivial canonical bundle. We show that $X$ admits a lift to $W_3(k)$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.41727",
  "author_total": 1,
  "authors": [
    {
      "name": "Tingxiao Shi"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/6pxrjpzym44dk.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.41727",
  "fulltext_url": null,
  "id": "6pxrjpzym44dk",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.41727",
  "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": null,
  "pdf_url": "https://arxiv.org/pdf/2610.41727",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-30",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/6pxrjpzym44dk.ris",
  "sources": [
    {
      "first_seen": "2026-11-02T12:21:20Z",
      "native_id": "2610.41727",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.41727"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Deformations of Calabi--Yau varieties over transversal or crystalline prisms",
  "title_text": "Deformations of Calabi--Yau varieties over transversal or crystalline prisms",
  "type": "preprint",
  "updated_at": "2026-11-04T15:20:53Z",
  "url": "https://research.draconitic.com/paper/6pxrjpzym44dk",
  "venue": "arXiv",
  "versions": []
}