{"paper":{"title":"The Balmer spectrum of a tame stack","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Jack Hall","submitted_at":"2014-11-23T20:42:33Z","abstract_excerpt":"Let $X$ be a quasi-compact algebraic stack with quasi-finite and separated diagonal. We classify the thick $\\otimes$-ideals of $\\mathsf{D}_{\\mathrm{qc}}(X)^c$. If $X$ is tame, then we also compute the Balmer spectrum of the $\\otimes$-triangulated category of perfect complexes on $X$. In addition, if $X$ admits a coarse space $X_{\\mathrm{cs}}$, then we prove that the Balmer spectra of $X$ and $X_{\\mathrm{cs}}$ are naturally isomorphic."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.6295","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":""},"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"}