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Hyperbolicity-to-projectivity evidence ledger
Family 051: Kobayashi’s canonical-ampleness conjecture. First application triage, 9 October 2026 Australia/Brisbane.
Problem and potential new use
Track the claimed implication from absence of entire curves on a compact Kähler manifold to an ample canonical bundle.
Applicability and commercial boundary
Absence of all entire curves is not certified by a finite sample; the result supplies no terminating general recognition test.
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 whether any effective restricted-class hyperbolicity test is available.
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.