A CHARACTERIZATION OF SPECIAL SUBVARIETIES

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Towards the Andr\'e-Oort conjecture for mixed Shimura varieties: the Ax-Lindemann theorem and lower bounds for Galois orbits of special points (2013, background): “If one could prove direcly this is the case, then Klingler-Ullmo-Yafaev [35, Theorem 1.3] would give directly the result.”
Applications of the hyperbolic Ax–Schanuel conjecture (2017, background): “et A denote an irreducible analytic component of π−1(W) in X. Then, since W is analytically irreducible, every irreducible analytic component of π−1(W) is equal to a Γ-translate of A (as mentioned in [39], Section 4, for example). In particular, π(A) is equal to W. Lemma 5.17. Assume that the weak h”
Ax-Lindemann for $\mathcal{A}_g$ (2014, background): “For our purposes, we shall need a slightly more general notion (see [39]).”