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Atypical subvariety provenance library

Family 016: Zilber–Pink in abelian varieties and the Siegel threefold. First application triage, 9 October 2026 Australia/Brisbane.

Problem and potential new use

Arithmetic geometry researchers can track finite maximal atypical structures under the specified abelian and A2 curve cases.

Applicability and commercial boundary

Finiteness does not imply efficient enumeration or apply to arbitrary higher-dimensional Shimura subvarieties.

Initial business decision

Research infrastructure or conditional engineering until a computable implementation, effective bounds and a recurring buyer need are demonstrated. No commercial novelty or profitability is established.

Next verification action

Inspect effective height bounds and a concrete computational example.

Evidence scope

The catalog statement was individually reviewed. Manuscript proof and selected formal scope comparison remain queued. No independent Lean verification was run. Source revision fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb. See source metadata.

The abelian Zilber–Pink conjecture.