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The class group pairing and $p$-descent on elliptic curves
hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
dc.contributor.author | GILLIBERT, Jean | |
hal.structure.identifier | School of Mathematical Sciences [Nottingham] | |
dc.contributor.author | WUTHRICH, Christian | |
dc.date.accessioned | 2024-04-04T02:18:40Z | |
dc.date.available | 2024-04-04T02:18:40Z | |
dc.date.created | 2011-10-19 | |
dc.date.issued | 2013 | |
dc.identifier.issn | 0024-6115 | |
dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/189336 | |
dc.description.abstractEn | We give explicit formulae for the logarithmic class group pairing on an elliptic curve defined over a number field. Then we relate it to the descent relative to a suitable cyclic isogeny. This allows us to connect the resulting Selmer group with the logarithmic class group of the base. These constructions are explicit and suitable for computer experimentation. From a conceptual point of view, the questions that arise here are analogues of "visibility" questions in the sense of Cremona and Mazur. | |
dc.language.iso | en | |
dc.publisher | London Mathematical Society | |
dc.title.en | The class group pairing and $p$-descent on elliptic curves | |
dc.type | Article de revue | |
dc.identifier.doi | 10.1112/plms/pds044 | |
dc.subject.hal | Mathématiques [math]/Théorie des nombres [math.NT] | |
dc.identifier.arxiv | 1110.4232 | |
bordeaux.journal | Proceedings of the London Mathematical Society | |
bordeaux.page | 345-374 | |
bordeaux.volume | 106 | |
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-00966129 | |
hal.version | 1 | |
hal.popular | non | |
hal.audience | Internationale | |
hal.origin.link | https://hal.archives-ouvertes.fr//hal-00966129v1 | |
bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Proceedings%20of%20the%20London%20Mathematical%20Society&rft.date=2013&rft.volume=106&rft.issue=2&rft.spage=345-374&rft.epage=345-374&rft.eissn=0024-6115&rft.issn=0024-6115&rft.au=GILLIBERT,%20Jean&WUTHRICH,%20Christian&rft.genre=article |
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