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Florian Breuer

The André-Oort conjecture for products of Drinfeld modular curves

Let Z = X₁ × ··· × 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.

Journal fur die reine und angewandte Mathematik (Crelles Journal), Walter de Gruyter

Print ISSN: 0075-4102
Volume: 2005, 03/2005
Pages: 115 - 144

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