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Hyperkähler fibration existence ledger
Family 041: Hyperkähler SYZ and projective-space bases. First application triage, 9 October 2026 Australia/Brisbane.
Problem and potential new use
Record when a nonzero isotropic nef line bundle becomes semiample and induces a Lagrangian fibration.
Applicability and commercial boundary
Hyperkähler and line-bundle hypotheses must be checked; existence does not provide an efficient numerical fibration finder.
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
Read the section construction and input representation for an explicit example.
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.