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Tautological relation completeness counterexample
Family 053: A counterexample to Pixton completeness in Chow. First application triage, 9 October 2026 Australia/Brisbane.
Problem and potential new use
Give algebraic-geometry computation tools a fixture against treating Pixton relations as a complete relation basis.
Applicability and commercial boundary
The explicit Chow and rational-cohomology relation must be represented exactly; incomplete generators do not invalidate every existing computation.
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 the relation, moduli space and an independent non-generation check.
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.