{"paper":{"title":"Morita theory for stable derivators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.KT","authors_text":"Simone Virili","submitted_at":"2018-07-04T10:00:15Z","abstract_excerpt":"We give a general construction of realization functors for $t$-structures on the base of a strong stable derivator. In particular, given such a derivator $\\mathbb D$, a $t$-structure $\\mathbf t=(\\mathcal D^{\\leq0},\\mathcal D^{\\geq0})$ on the triangulated category $\\mathbb D(\\mathbb 1)$, and letting $\\mathcal A=\\mathcal D^{\\leq0}\\cap \\mathcal D^{\\geq0}$ be its heart, we construct, under mild assumptions, a morphism of prederivators \\[ \\mathrm{real}_{\\mathbf t}\\colon \\mathbf{D}_{\\mathcal A}\\to \\mathbb D \\] where $\\mathbf{D}_{\\mathcal A}$ is the natural prederivator enhancing the derived category"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.01505","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":""},"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"}