For a subvariety of an abelian scheme with the t-th degeneracy locus removed, the intersection with all flat group subschemes of relative dimension at most t has bounded total height.
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Intersecting subvarieties of abelian schemes with group subschemes I
For a subvariety of an abelian scheme with the t-th degeneracy locus removed, the intersection with all flat group subschemes of relative dimension at most t has bounded total height.