Density formulation of the André-Oort conjecture

Let Γ\X+\Gamma\backslash X^+ be an arithmetic variety, let VV be an algebraic subvariety, and let {Z1;}\{Z_1;\ldots\} be the special subvarieties ZiVZ_i\subseteq V. Density formulation of the André-Oort conjecture. If Zi\bigcup Z_i is Zariski dense in VV, then VV is a special subvariety. The source gives this as another formulation of André–Oort, whose general statement it says has been proved.

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Primary source

Rodolphe Richard and Andrei Yafaev, “A Common Generalisation of the André-Oort and André-Pink-Zannier Conjectures”, arXiv:2401.03528 (2024).

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