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The André-Oort conjecture for products of Drinfeld modular curves

The André-Oort conjecture for products of Drinfeld modular curves

Let Z = X1 × ··· × Xn be a product of Drinfeld modular curves. We characterize those algebraic subvarieties X ⊂ Z containing a Zariski-dense set of CM points, i.e. points corresponding to n-tuples of Drinfeld modules with complex multiplication (and suitable level structure). This is a characteristic p …