On this page
Semipositive anticanonical section contract
Family 068: Anticanonical nonvanishing in every dimension. First application triage, 9 October 2026 Australia/Brisbane.
Problem and potential new use
Record existence of a nonzero section in some positive anticanonical power under smooth semipositivity.
Applicability and commercial boundary
The power may be nonexplicit, so existence does not provide a bounded section-search algorithm.
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
Search the proof for effective powers or a constructive restricted 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.