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Surface cycle-class assumption reference
Family 040: Bloch’s conjecture for complex surfaces. First application triage, 9 October 2026 Australia/Brisbane.
Problem and potential new use
Track the claimed integral Albanese isomorphism for zero-cycles on projective surfaces with geometric genus zero.
Applicability and commercial boundary
Zero-cycle equivalence and an Albanese map are not ordinary finite record deduplication; the new and classical cases have distinct hypotheses.
Initial business decision
Research reference or conditional symbolic/verification engineering. No recurring buyer need, practical implementation or profitability has been demonstrated. Defer a standalone commercial product until a constructive example and a measurable workflow improvement exist. These records also identify unsupported inferences that an evidence platform could flag.
Next verification action
Inspect finite symbolic examples and any effective cycle-equivalence procedure.
Evidence scope
The repository catalog statement was individually read. Main-paper construction, effectiveness and selected formal-scope comparison remain queued for this record. No independent Lean verification was run. Source revision fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb. See source metadata.