{
  "abstract": "Let R ^ ${\\hat {R}}_{}$ ModifyingAbove upper R With caret be the I -adic completion of a commutative ring R with respect to a finitely generated ideal I . We give a necessary and sufficient criterion for the category of perfect complexes over R ^ ${\\hat {R}}_{}$ ModifyingAbove upper R With caret to be equivalent to the subcategory of dualizable objects in the derived category of I -complete complexes of R -modules. Our criterion is always satisfied when R is noetherian. When specialized to R local and noetherian and to I the maximal ideal, our theorem recovers a recent result of Benson, Iyengar, Krause, and Pevtsova.",
  "abstract_shown": true,
  "affiliations": [
    "UCLA",
    "University of California"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 2,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Paul Balmer",
      "orcid": "0000-0003-1015-9579"
    },
    {
      "affs": [
        1
      ],
      "name": "Beren Sanders"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/823q20cjqfttv.bib",
  "cited_by": 0,
  "doi": "10.1017/fms.2026.10283",
  "fulltext_url": null,
  "id": "823q20cjqfttv",
  "issns": [
    "2050-5094"
  ],
  "landing_url": "https://www.cambridge.org/core/product/identifier/S2050509426102837/type/journal_article",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0",
  "metadata_licence": null,
  "native_subjects": [
    [
      "openalex",
      "2608|Algebraic structures and combinatorial models"
    ]
  ],
  "openalex": "W4404985934",
  "pdf_url": "https://www.cambridge.org/core/services/aop-cambridge-core/content/view/B43766320DEA8FEA1B13540A9CF66145/S2050509426102837a.pdf/div-class-title-perfect-complexes-and-completion-div.pdf",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-23",
  "publisher": "Cambridge University Press (CUP)",
  "ris": "https://research.draconitic.com/paper/823q20cjqfttv.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:20Z",
      "native_id": "10.1017/fms.2026.10283",
      "source": "crossref",
      "url": "https://www.cambridge.org/core/product/identifier/S2050509426102837/type/journal_article"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "openalex:2608|Algebraic structures and combinatorial models",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Perfect complexes and completion",
  "title_text": "Perfect complexes and completion",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T12:18:20Z",
  "url": "https://research.draconitic.com/paper/823q20cjqfttv",
  "venue": "Forum of Mathematics, Sigma",
  "versions": []
}