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Algebraic cancellation counterexample fixture
Family 047: Zariski cancellation and affine fibrations over the complex numbers. First application triage, 9 October 2026 Australia/Brisbane.
Problem and potential new use
Test the inference that a variety whose product with the affine line is affine five-space must itself be affine four-space.
Applicability and commercial boundary
The complex affine example concerns algebraic isomorphism, not cancellation of finite numeric vectors or database columns.
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 explicit equations and maps before building an exact symbolic fixture.
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.