Principalization of ideals in abelian extensions of number fields
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | BOSCA, Sebastien | |
| hal.structure.identifier | Chercheur indépendant | |
| dc.contributor.author | GRAS, Georges | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | JAULENT, Jean-François | |
| dc.date.accessioned | 2024-04-04T02:41:38Z | |
| dc.date.available | 2024-04-04T02:41:38Z | |
| dc.date.issued | 2009 | |
| dc.identifier.issn | 1793-0421 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/191167 | |
| dc.description.abstractEn | We give the complete proof of a conjecture of Georges Gras which claims that, for any extension $K/k$ of number fields in which at least one infinite place is totally split, every ideal $I$ of $K$ principalizes in the compositum $Kk^{ab}$ of $K$ with the maximal abelian extension $k^{ab}$ of $k$ | |
| dc.language.iso | en | |
| dc.publisher | World Scientific Publishing | |
| dc.title.en | Principalization of ideals in abelian extensions of number fields | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Théorie des nombres [math.NT] | |
| dc.identifier.arxiv | 0803.4147 | |
| bordeaux.journal | International Journal of Number Theory | |
| bordeaux.page | 1--13 | |
| bordeaux.volume | 5 | |
| 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-00267830 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00267830v1 | |
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