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Six-dimensional Fano classification reference
Family 067: The Campana–Peternell conjecture in dimension six. First application triage, 9 October 2026 Australia/Brisbane.
Problem and potential new use
Track the claimed homogeneous-space conclusion for a six-dimensional Fano manifold with nef tangent bundle.
Applicability and commercial boundary
The result is dimension six, not all dimensions; a nef tangent hypothesis is not a finite numeric observation.
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 computable invariants and classification witnesses.
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.