Abundance and Iitaka dependency evidence

Family 034: Log abundance for compact Kähler spaces under logarithmic Iitaka subadditivity. First application triage, 9 October 2026 Australia/Brisbane.

Problem and potential new use

Record when a claimed log-abundance result permits a semiample multiple and an Iitaka fibration.

Applicability and commercial boundary

The result uses log Iitaka; a uniform existence or index bound is not an implemented section constructor or a runtime guarantee.

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 effective bounds and the exact dependence on rational coefficient sets before proposing a CAS extension.

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.

Log abundance for compact Kähler spaces under logarithmic Iitaka subadditivity.