{
  "abstract": "We prove that strict higher Du Bois singularities are invariant under small deformations. Using this, we prove a base change theorem for the relative Du Bois complex with strict higher Du Bois fibers, answering a question of Kovács--Taji. We exhibit failures of deformation invariance and base change for $1$-Du Bois fibers, showing that the strictness condition is essentially sharp. We also generalize the local-freeness theorem of Friedman--Laza beyond the local complete intersection setting for families over an arbitrary base, and show the unobstructedness of deformations of strict-$1$-Du Bois canonical Calabi-Yau varieties.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.07849",
  "author_total": 1,
  "authors": [
    {
      "name": "Haoming Ning"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/fw3a09bz9pxge.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.07849",
  "fulltext_url": null,
  "id": "fw3a09bz9pxge",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.07849",
  "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": "W7202203249",
  "pdf_url": "https://arxiv.org/pdf/2608.07849",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-07",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/fw3a09bz9pxge.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:58Z",
      "native_id": "2608.07849",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.07849"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Deformations, local freeness, and base change for higher Du Bois singularities",
  "title_text": "Deformations, local freeness, and base change for higher Du Bois singularities",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:58Z",
  "url": "https://research.draconitic.com/paper/fw3a09bz9pxge",
  "venue": "arXiv",
  "versions": []
}