{"paper":{"title":"Cancellation theorem for Grothendieck-Witt-correspondences and Witt-correspondences","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.KT","authors_text":"Andrei Druzhinin","submitted_at":"2017-09-19T17:39:23Z","abstract_excerpt":"The cancellation theorem for Grothendieck-Witt-correspondences and Witt-correspondences between smooth varieties over an infinite prefect field $k$, $char k \\neq 2$, is proved, the isomorphism $$Hom_{\\mathbf{DM}^\\mathrm{GW}_\\mathrm{eff}}(A^\\bullet,B^\\bullet) \\simeq Hom_{\\mathbf{DM}^\\mathrm{GW}_\\mathrm{eff}}(A^\\bullet(1),B^\\bullet(1)),$$ for $A^\\bullet,B^\\bullet\\in \\mathbf{DM}^\\mathrm{GW}_\\mathrm{eff}(k)$ in the category of effective Grothendieck-Witt-motives constructed in \\cite{AD_DMGWeff} is obtained (and similarly for Witt-motives).\n  This implies that the canonical functor $\\Sigma_{\\mathbb"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.06543","kind":"arxiv","version":9},"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"}