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Hodge–Tate proof dependency adapter
Family 032: The rational Hodge conjecture for CM abelian varieties. First application triage, 9 October 2026 Australia/Brisbane.
Problem and potential new use
Connect the claimed rational Hodge results for CM abelian varieties with their finite-field Tate and standard-conjecture consequences.
Applicability and commercial boundary
CM, abelian-variety and coefficient hypotheses matter. A separate withdrawn Weil-class proof must not automatically invalidate this family or be ignored if actually used.
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 the manuscript dependency chain and map any withdrawal to a specific proof and version.
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.