CM points on products of Drinfeld modular curves

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0 Ju l 2 00 4 CM points on products of Drinfeld modular curves Florian Breuer

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 subset 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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ژورنال

عنوان ژورنال: Transactions of the American Mathematical Society

سال: 2006

ISSN: 0002-9947,1088-6850

DOI: 10.1090/s0002-9947-06-04109-2