Number theory · Oct 6, 2026

Zilber–Pink in abelian varieties and the Siegel threefold

Proves the abelian Zilber–Pink conjecture over Q‾\overline{\mathbb Q}: 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 A2\mathcal A_2 for Hodge-generic curves defined over Q‾\overline{\mathbb Q}, without boundary or reduction assumptions.

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