Galois module structure and Jacobians of Fermat curves
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | CASSOU-NOGUÈS, Philippe | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | GILLIBERT, Jean | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | JEHANNE, Arnaud | |
| dc.date.accessioned | 2024-04-04T02:18:08Z | |
| dc.date.available | 2024-04-04T02:18:08Z | |
| dc.date.created | 2014-04-16 | |
| dc.date.issued | 2015-01-05 | |
| dc.identifier.issn | 0024-6093 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/189285 | |
| dc.description.abstractEn | The class-invariant homomorphism allows one to measure the Galois module structure of extensions obtained by dividing points on abelian varieties. In this paper, we consider the case when the abelian variety is the Jacobian of a Fermat curve. We give examples of torsion points whose associated Galois structure is trivial, as well as points of infinite order whose associated Galois structure is non-trivial. | |
| dc.language.iso | en | |
| dc.publisher | London Mathematical Society | |
| dc.subject.en | Galois module structure | |
| dc.subject.en | Abelian varieties | |
| dc.subject.en | class-invariant homomorphism | |
| dc.title.en | Galois module structure and Jacobians of Fermat curves | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Théorie des nombres [math.NT] | |
| dc.identifier.arxiv | 1404.4248 | |
| bordeaux.journal | Bulletin of the London Mathematical Society | |
| bordeaux.page | 1 - 11 | |
| bordeaux.volume | 47 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00992087 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00992087v1 | |
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