Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f

Remark: Family 016. Zilber–Pink in abelian varieties and the Siegel threefold

Family claims › Number theory · lines 283–288

OpenAI@2026-10-07#rem:oai-016

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Proves the abelian Zilber–Pink conjecture over : every irreducible subvariety has finitely many maximal atypical subvarieties relative to its smallest containing torsion coset. It also proves the full curve case in the Siegel threefold for Hodge-generic curves defined over , without boundary or reduction assumptions.

The authors are OpenAI. This companion does not verify the proof. The claim is not a theorem of the Enter series and not a premise of any registered sheet. It does not close O.1. O.1 stays NOT_CLOSED. It is not a de Sitter state and not the QdS external-leg scheme. No quantum coefficient is admitted. No compilation is asserted.

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