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Complex-manifold Oka classification reference

Family 042: Oka classification for minimal compact complex surfaces: Kodaira dimension zero and class VII. First application triage, 9 October 2026 Australia/Brisbane.

Problem and potential new use

Support researchers comparing Oka properties of minimal compact complex surfaces of Kodaira dimension zero and specified class-VII surfaces.

Applicability and commercial boundary

These geometric existence properties do not yield an automatic holomorphic interpolation solver or classify every complex manifold.

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

Extract one constructive interpolation example and distinguish the surface classes.

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.

Every complex K3 surface is Oka.