The Γ\Gamma-André–Oort conjecture

Let SΓS_\Gamma be the variety under consideration, and let a Γ\Gamma-special point and a Γ\Gamma-special subvariety be defined as in the paper. The Γ\Gamma-André–Oort conjecture. An irreducible subvariety WSΓW\subset S_\Gamma is Γ\Gamma-special if it contains a Zariski dense set of Γ\Gamma-special points. The conjecture is presented as a non-arithmetic analogue of André–Oort, motivated by the paper's Γ\Gamma-Ax–Schanuel and Γ\Gamma-Ax–Lindemann–Weierstrass results; it remains unresolved in the source.

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Primary source

Gregorio Baldi and Emmanuel Ullmo, “Special subvarieties of non-arithmetic ball quotients and Hodge Theory”, arXiv:2005.03524 (2023).

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