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Fano invariant inequality reference
Family 063: The generalized Mukai conjecture. First application triage, 9 October 2026 Australia/Brisbane.
Problem and potential new use
Cross-check the Picard-number and pseudoindex inequality and its product-of-projective-spaces equality case.
Applicability and commercial boundary
Computing the invariants and verifying smooth Fano hypotheses may dominate the task; the inequality is not a classifier by itself.
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
Compare explicit varieties and independently calculated invariants.
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.