Serre's uniformity problem in the split Cartan case
| dc.creator | Bilu, Yuri | |
| dc.creator | Parent, Pierre | |
| dc.date | 2008-07-30 | |
| dc.date | 2009-03-03 | |
| dc.date.accessioned | 2026-07-07T12:47:49Z | |
| dc.date.available | 2026-07-07T12:47:49Z | |
| dc.description | We prove that there exists an integer p_0 such that X_split(p)(Q) is made of cusps and CM-points for any prime p>p_0. Equivalently, for any non-CM elliptic curve E over Q and any prime p>p_0 the image of the Galois representation induced by the Galois action on the p-division points of E is not contained in the normalizer of a split Cartan subgroup. This gives a partial answer to an old question of Serre. | |
| dc.description | 11 pages; Version 5; minor revision (a few bugs corrected, some references added) | |
| dc.identifier | https://arxiv.org/abs/0807.4954 | |
| dc.identifier | http://arxiv.org/abs/0807.4954 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/221849 | |
| dc.subject | Number Theory | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 11G18; 11G05; 11G16 | |
| dc.title | Serre's uniformity problem in the split Cartan case | |
| dc.type | text |