{
  "abstract": "Let $S$ be a smooth, affine noetherian $\\mathbb{C}$-scheme, and let $X/S$ be a smooth, quasi-projective family of Calabi--Yau $d$-folds. We prove that the derived moduli stack of flat families of properly supported coherent sheaves on $X/S$ has a relative $(2-d)$-shifted symplectic structure by generalizing a construction of Brav--Dyckerhoff. The main points are to show that the category $\\mathrm{IndCoh}(X)$ is a smooth, compact $\\mathrm{QCoh}(S)$-module and to identify our moduli stack of interest as a substack of the moduli of pseudo-perfect objects in $\\mathrm{IndCoh}(X)$. Finally, we discuss two examples of families of smooth, quasi-projective Calabi--Yau threefolds that are potentially useful for applications in enumerative geometry.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.36922",
  "author_total": 1,
  "authors": [
    {
      "name": "Matthew Huynh"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/8p52r09p9pzmf.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.36922",
  "fulltext_url": null,
  "id": "8p52r09p9pzmf",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.36922",
  "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": "W7214944615",
  "pdf_url": "https://arxiv.org/pdf/2609.36922",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-29",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/8p52r09p9pzmf.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:35Z",
      "native_id": "2609.36922",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.36922"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Degenerations of shifted symplectic moduli stacks of sheaves",
  "title_text": "Degenerations of shifted symplectic moduli stacks of sheaves",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:35Z",
  "url": "https://research.draconitic.com/paper/8p52r09p9pzmf",
  "venue": "arXiv",
  "versions": []
}