{"paper":{"title":"Inertial Chow rings of toric stacks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Dan Edidin, Thomas Coleman","submitted_at":"2016-12-21T13:46:47Z","abstract_excerpt":"For any vector bundle $V$ on a toric Deligne-Mumford stack $\\ix$ the formalism of \\cite{EJK:16} defines two intertial products $\\star_{V^{+}}$ and $\\star_{V^{-}}$ on the Chow group of the inertia stack. We give an explicit presentation for the integral $\\star_{V^+}$ and $\\star_{V^-}$ Chow rings, extending earlier work of Boris-Chen-Smith \\cite{BCS:05} and Jiang-Tsen \\cite{JiTs:10} in the orbifold Chow ring case, which corresponds to $V = 0$.\n  We also describe an {\\em asymptotic} product on the rational Chow group of the inertia stack obtained by letting the rank of the bundle $V$ go to infini"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.07107","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"}