Invariants de classes : exemples de non-annulation en dimension supérieure
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | GILLIBERT, Jean | |
| dc.date.accessioned | 2024-04-04T02:53:32Z | |
| dc.date.available | 2024-04-04T02:53:32Z | |
| dc.date.created | 2007-10-05 | |
| dc.date.issued | 2007 | |
| dc.identifier.issn | 0025-5831 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/192182 | |
| dc.description.abstractEn | The so-called class-invariant homomorphism $\psi$ measures the Galois module structure of torsors--under a finite flat group scheme $G$--which lie in the image of a coboundary map associated to an isogeny between (Néron models of) abelian varieties with kernel $G$. When the varieties are elliptic curves with semi-stable reduction and the order of $G$ is coprime to 6, is is known that the homomorphism $\psi$ vanishes on torsion points. In this paper, using Weil restrictions of elliptic curves, we give the construction, for any prime number $p>2$, of an abelian variety $A$ of dimension $p$ endowed with an isogeny (with kernel $\mu_p$) whose coboundary map is surjective. In the case when $A$ has rank zero and the $p$-part of the Picard group of the base is non-trivial, we obtain examples where $\psi$ does not vanishes on torsion points. | |
| dc.language.iso | fr | |
| dc.publisher | Springer Verlag | |
| dc.title | Invariants de classes : exemples de non-annulation en dimension supérieure | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1007/s00208-007-0084-4 | |
| dc.subject.hal | Mathématiques [math]/Théorie des nombres [math.NT] | |
| dc.subject.hal | Mathématiques [math]/Géométrie algébrique [math.AG] | |
| dc.identifier.arxiv | math/0603185 | |
| bordeaux.journal | Mathematische Annalen | |
| bordeaux.page | 475-495 | |
| bordeaux.volume | 338 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 2 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00280807 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00280807v1 | |
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