{"paper":{"title":"The derived $\\infty$-category of Frobenius modules","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.AC"],"primary_cat":"math.AG","authors_text":"Klaus Mattis, Timo Wei{\\ss}","submitted_at":"2025-10-27T12:27:20Z","abstract_excerpt":"We prove that for $X$ a quasi-compact $\\mathbb{F}_p$-scheme with affine diagonal (e.g.\\ $X$ quasi-compact\n  and separated) there is a t-exact equivalence\n  $\\mathcal D(\\mathrm{Frob}(\\mathrm{QCoh}(X),F_*)) \\to \\mathrm{Frob}(\\mathcal D(\\mathrm{QCoh}(X)),\\mathcal D(F_*))$\n  of stable $\\infty$-categories.\n  Here, $\\mathrm{Frob}(-,-)$ denotes the $\\infty$-category of generalized Frobenius modules\n  as introduced in arXiv:2410.17102.\n  This generalizes our result from arXiv:2410.17102,\n  where we proved the above for regular Noetherian $\\mathbb{F}_p$-schemes.\n  As a byproduct we prove that the deriv"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2510.23267","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2510.23267/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}