CM points on products of Drinfeld modular curves

Details CM points on products of Drinfeld modular curves CM points on products of Drinfeld modular curves

2004-07-20

arxiv.org/abs/math/0407334v1

Mathematics

Number Theory

LaTeX, 27 pages

Scientific paper

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 Andr\'e-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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