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CM points on products of Drinfeld modular curves
Author(s):
Florian
Breuer
Journal:
Trans. Amer. Math. Soc.
359
(2007),
1351-1374.
MSC (2000):
Primary 11G09;
Secondary 14G35
Posted:
September 19, 2006
MathSciNet review:
2262854
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Abstract:
Let  be a product of Drinfeld modular curves over a general base ring  of odd characteristic. We classify those subvarieties of  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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Additional Information:
Florian
Breuer
Affiliation:
Department of Mathematical Sciences, University of Stellenbosch, Stellenbosch, 7600, South Africa
Email:
fbreuer@sun.ac.za
DOI:
10.1090/S0002-9947-06-04109-2
PII:
S 0002-9947(06)04109-2
Keywords:
Drinfeld modular curves,
CM points,
Andr\'e-Oort conjecture,
Heegner points
Received by editor(s):
September 20, 2004
Received by editor(s) in revised form:
March 1, 2005
Posted:
September 19, 2006
Copyright of article:
Copyright
2006,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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