Numerical semiampleness model contract

Family 036: Numerical semiampleness and generalized minimal models. First application triage, 9 October 2026 Australia/Brisbane.

Problem and potential new use

Distinguish numerical equivalence conclusions for adjoint divisors from actual section-based semiampleness.

Applicability and commercial boundary

Klt, rational divisor, characteristic-zero and Kähler Bott–Chern regimes have different data. Generalized-pair conclusions require nef b-data.

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

Map exact equivalence relations and construction effectiveness in each manuscript.

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.

Numerical semiampleness of nef adjoint classes on compact Kähler manifolds.