The André-Oort conjecture for Drinfeld modular varieties
We consider the analogue of the André-Oort conjecture for Drinfeld modular varieties which was formulated by Breuer. We prove this analogue for special points with separable reflex field over the base field by adapting methods which were used by Klingler and Yafaev to prove the André-Oort conjectu...
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| Main Author: | |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
14 February 2013
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| In: |
Compositio mathematica
Year: 2013, Volume: 149, Issue: 4, Pages: 507-567 |
| ISSN: | 1570-5846 |
| DOI: | 10.1112/S0010437X12000681 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1112/S0010437X12000681 Verlag, lizenzpflichtig, Volltext: https://www.cambridge.org/core/journals/compositio-mathematica/article/andreoort-conjecture-for-drinfeld-modular-varieties/615E48838D93E7EEBCD55962F67D757F 
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| Author Notes: | Patrik Hubschmid |
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| 520 | |a We consider the analogue of the André-Oort conjecture for Drinfeld modular varieties which was formulated by Breuer. We prove this analogue for special points with separable reflex field over the base field by adapting methods which were used by Klingler and Yafaev to prove the André-Oort conjecture under the generalized Riemann hypothesis in the classical case. Our result extends results of Breuer showing the correctness of the analogue for special points lying in a curve and for special points having a certain behaviour at a fixed set of primes. | ||
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