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For certain classes of threefolds, $H^3_\\nr(X,\\Q/\\Z(2))$ actually vanishes. It is an open question whether this holds true for arbitrary threefolds. For a threefold $X$ equipped with a fibration onto a curve $C$, the generic fibre of which is a smooth projective surface $V$ over the global field $\\F(C)$, the vanishing of $H^3_\\nr(X,\\Q/\\Z(2))$ together with the Tate conjecture for divisors on $X$ impl"},"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":"1104.3350","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-04-17T21:13:24Z","cross_cats_sorted":[],"title_canon_sha256":"5da01d87730d8a41c2ff870d128767a108bbb9d1eb1319ff209378469d649ac5","abstract_canon_sha256":"1023f8362ea61c06f0f8b0bc20efa0a4707243e9a5c625e44452ee44f77b2c9c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:50:23.068892Z","signature_b64":"T5QLtf9ydYQrd3XPD5KIXG2+rzaUVBo+IpG0KHhYkOuqNA/3f3Or3yRcvyHGN/DzscuE82GZEtSFxluEVKfEBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"add9ef239ec02ff868717d5cb809e872d05223e9eaf981ee8c95efc974a75dd5","last_reissued_at":"2026-05-18T03:50:23.068368Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:50:23.068368Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Cycles de codimension 2 et H^3 non ramifi\\'e pour les vari\\'et\\'es sur les corps finis","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Bruno Kahn, Jean-Louis Colliot-Th\\'el\\`ene","submitted_at":"2011-04-17T21:13:24Z","abstract_excerpt":"Let $X$ be a smooth projective variety over a finite field $\\F$. 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