For every irreducible subvariety X of an abelian variety over a number field, there are only finitely many maximal atypical subvarieties of X relative to its smallest containing torsion coset.
For every irreducible subvariety X of an abelian variety over a number field, there are only finitely many maximal atypical subvarieties of X relative to its smallest containing torsion coset.
For every irreducible subvariety X of an abelian variety over a number field, there are only finitely many maximal atypical subvarieties of X relative to its smallest containing torsion coset.
If correct, resolves the abelian Zilber–Pink finiteness conjecture in arbitrary dimension.
Are there finitely many maximal atypical subvarieties in the stated abelian setting?
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