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O-minimality and the André-Oort conjecture for C^n
We give an unconditional proof of the André-Oort conjecture for arbitrary products of modular curves.We establish two generalizations.The first includes the Manin-Mumford conjecture for arbitrary products of elliptic curves defined over Q as well as Lang's conjecture for torsion points in powers of the multiplicative group.The second includes the Manin-Mumford …