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Normalized-volume singularity reference
Family 037: The ordinary-double-point volume gap. First application triage, 9 October 2026 Australia/Brisbane.
Problem and potential new use
Compare claimed upper volume bounds with equality at an ordinary double point for a singular klt complex germ.
Applicability and commercial boundary
The zero-boundary and dimension-at-least-two hypotheses matter; calculating the infimum defining normalized volume may remain difficult.
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
Inspect the equality certificate and computable volume input before implementing a diagnostic.
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.