The Andre-Oort conjecture for products of Drinfeld modular curves
| dc.creator | Breuer, Florian | |
| dc.date | 2003-03-04 | |
| dc.date | 2004-07-20 | |
| dc.date.accessioned | 2026-07-07T04:55:44Z | |
| dc.date.available | 2026-07-07T04:55:44Z | |
| dc.description | Let $Z=X_1\times...\times X_n$ be a product of Drinfeld modular curves. We characterize those algebraic subvarieties $X \subset Z$ containing a Zariski-dense set of CM points, i.e. points corresponding to $n$-tuples of Drinfeld modules with complex multiplication (and suitable level structure). This is a characteristic $p$ analogue of a special case of the André-Oort conjecture. We follow closely the approach used by Bas Edixhoven in characteristic zero, see math.NT/0302138. Note that in this paper we assume that the characteristic $p$ is odd, and we only treat the case of Drinfeld $F_q[T]$-modules. | |
| dc.description | LaTeX, 28 pages. Minor corrections made. To appear in J. reine. Angew. Math | |
| dc.identifier | https://arxiv.org/abs/math/0303038 | |
| dc.identifier | http://arxiv.org/abs/math/0303038 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66686 | |
| dc.subject | Number Theory | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 11G09 (primary), 11G15 (secondary) | |
| dc.title | The Andre-Oort conjecture for products of Drinfeld modular curves | |
| dc.type | text |