{
  "abstract": "We prove a duality theorem for lax equalizers of stable $\\infty$-categories, and we apply it to Frobenius and Cartier modules on a Noetherian $F$-finite scheme $X$ of characteristic $p$ with a unit dualizing complex. When $X$ has affine diagonal, comparison with the derived categories of coherent modules and passage to homotopy categories recovers Baudin's derived Hom duality. The duality of coherent modules exchanges the standard $t$-structure on one side with the perverse $t$-structure determined by the dualizing complex on the other. In particular, it identifies the abelian category of coherent Cartier modules with a perverse heart of coherent Frobenius modules, and conversely.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.10140",
  "author_total": 1,
  "authors": [
    {
      "name": "Fei Ren"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/a3eqeerthyvdp.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.10140",
  "fulltext_url": null,
  "id": "a3eqeerthyvdp",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.10140",
  "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"
    ],
    [
      "arxiv",
      "math.CT"
    ],
    [
      "openalex",
      "2608|Algebraic structures and combinatorial models"
    ]
  ],
  "openalex": "W7212191621",
  "pdf_url": "https://arxiv.org/pdf/2609.10140",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-09",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/a3eqeerthyvdp.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:20:15Z",
      "native_id": "2609.10140",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.10140"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Frobenius--Cartier duality via lax equalizers",
  "title_text": "Frobenius--Cartier duality via lax equalizers",
  "type": "preprint",
  "updated_at": "2026-10-30T12:20:15Z",
  "url": "https://research.draconitic.com/paper/a3eqeerthyvdp",
  "venue": "arXiv",
  "versions": []
}