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We show that the canonical map MGL/(a1, a2, ...) -> HZ induced by the additive orientation of motivic cohomology becomes an equivalence after inverting c. As an application, we prove the convergence of the Atiyah-Hirzebruch spectral sequence for all Z[1/c]-local Landweber exact motivic spectra."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1210.7182","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-10-26T16:37:01Z","cross_cats_sorted":[],"title_canon_sha256":"ea3e620232c655ab2d1d27d10dcad61a5e086b69b514f6d1e34d30a1450f6d08","abstract_canon_sha256":"b2ec09137817bb00b8c67d1f23e231aacd9bdc505c51684c20750e597eb6ee2b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:36:07.514697Z","signature_b64":"j3MxpOBdalxU5U4/HER2s/zt4/otjBwR8bbwmFTNl76vMUTcSTNBqpHeNBtV7zXCuJ1+wXxDWIM6hvvFSAJhDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f2a3c4fbbbd9dc9aec2778d9ce8f9e241d5eb81cbc3e88897e634d26a9586bed","last_reissued_at":"2026-05-18T01:36:07.514261Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:36:07.514261Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"From algebraic cobordism to motivic cohomology","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Marc Hoyois","submitted_at":"2012-10-26T16:37:01Z","abstract_excerpt":"Let S be an essentially smooth scheme over a field of characteristic exponent c. 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