Special subvarieties of Drinfeld modular varieties
| dc.creator | Breuer, Florian | |
| dc.date | 2005-03-22 | |
| dc.date | 2009-02-28 | |
| dc.date.accessioned | 2026-07-07T12:47:43Z | |
| dc.date.available | 2026-07-07T12:47:43Z | |
| dc.description | We explore an analogue of the André-Oort conjecture for subvarieties of Drinfeld modular varieties. The conjecture states that a subvariety $X$ of a Drinfeld modular variety contains a Zariski-dense set of complex multiplication (CM) points if and only if $X$ is a "special" subvariety (i.e. $X$ is defined by requiring additional endomorphisms). We prove this conjecture in two cases. Firstly when $X$ contains a Zariski-dense set of CM points with a certain behaviour above a fixed prime (which is the case if these CM points lie in one Hecke orbit), and secondly when $X$ is a curve containing infinitely many CM points without any additional assumptions. | |
| dc.description | 22 pages, significant rewrite | |
| dc.identifier | https://arxiv.org/abs/math/0503452 | |
| dc.identifier | http://arxiv.org/abs/math/0503452 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/221817 | |
| dc.subject | Number Theory | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 11G09; 14G35 | |
| dc.title | Special subvarieties of Drinfeld modular varieties | |
| dc.type | text |