André-Pink-Zannier conjecture for the universal family of abelian varieties
André-Pink-Zannier conjecture for the universal family of abelian varieties
Let be the universal family of principally polarized abelian varieties, and let be a subvariety of . For , let be the generalized Hecke orbit of . André-Pink-Zannier conjecture. If
then is weakly special. This is an important case of the Zilber-Pink conjecture for a mixed Shimura variety; its status is not resolved in the supplied source.
Sources & referencesView supporting material
Primary source
Ziyang Gao, “A special point problem of André-Pink-Zannier in the universal family of abelian varieties”, arXiv:1407.5578 (2015).
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