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CM points on products of Drinfeld modular curves

Florian Breuer
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Abstract

Let X be a product of Drinfeld modular curves over a general base ring A of odd characteristic. We classify those subvarieties of X which contain a Zariski-dense set of CM points. This is an analogue of the André-Oort conjecture. As an application, we construct non-trivial families of higher Heegner points on modular elliptic curves over global function fields.

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Florian Breuer. 2004-07-20. CM points on products of Drinfeld modular curves. https://arxiv.org/abs/math/0407334

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