Serre's uniformity problem in the split Cartan case
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | BILU, Yuri | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | PARENT, Pierre | |
| dc.date.accessioned | 2024-04-04T02:39:54Z | |
| dc.date.available | 2024-04-04T02:39:54Z | |
| dc.date.created | 2009-03-02 | |
| dc.date.issued | 2011 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/191017 | |
| dc.description.abstractEn | 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.language.iso | en | |
| dc.title.en | Serre's uniformity problem in the split Cartan case | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.4007/annals.2011.173.1.13 | |
| dc.subject.hal | Mathématiques [math]/Théorie des nombres [math.NT] | |
| dc.subject.hal | Mathématiques [math]/Géométrie algébrique [math.AG] | |
| dc.identifier.arxiv | 0807.4954 | |
| bordeaux.journal | Ann. Math. (II) | |
| bordeaux.page | 569-584 | |
| bordeaux.volume | 173 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 1 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00383077 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00383077v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Ann.%20Math.%20(II)&rft.date=2011&rft.volume=173&rft.issue=1&rft.spage=569-584&rft.epage=569-584&rft.au=BILU,%20Yuri&PARENT,%20Pierre&rft.genre=article |
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