{"paper":{"title":"On universal deformation rings and stable equivalences of Gorenstein-projective modules","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Jose A. Velez-Marulanda, Shengyong Pan","submitted_at":"2026-06-04T18:55:24Z","abstract_excerpt":"Let $\\mathbf{k}$ be a field and let $\\Lambda$ and $\\Gamma$ finite dimensional $\\mathbf{k}$-algebras. Assume that ${_\\Gamma}X_\\Lambda$ and ${_\\Lambda}Y_\\Gamma$ are bimodules that define a singular equivalence of Morita type with level (in the sense of Z. Wang) between $\\Lambda$ and $\\Gamma$ and which also induce an equivalence between the stable categories of finitely generated Gorenstein-projective modules $\\Lambda$-$\\underline{\\text{Gproj}}$ and $\\Gamma$-$\\underline{\\text{Gproj}}$. We prove that if $V$ is an indecomposable object in $\\Lambda$-$\\underline{\\text{Gproj}}$ with $\\underline{\\mathr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.06648","kind":"arxiv","version":1},"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/2606.06648/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"}