Density formulation of the André-Oort conjecture

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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 Zi⊆VZ_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.

References

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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