## Abstract

Let *Z = X _{1} × ··· × X_{n}* 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*analogue of a special case of the André-Oort conjecture.

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