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Holomorphic splitting integrability contract
Family 052: Tangent splittings and product decompositions. First application triage, 9 October 2026 Australia/Brisbane.
Problem and potential new use
Distinguish an integrable tangent splitting and product universal cover from an arbitrary vector-bundle decomposition.
Applicability and commercial boundary
Integrability is an explicit assumption except in the stated rationally connected setting; no cheap decomposition algorithm follows.
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 integrability hypotheses and one explicit splitting 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.