Indices isotypiques des éléments cyclotomiques.
| hal.structure.identifier | Institut de Recherche Mathématique Avancée [IRMA] | |
| dc.contributor.author | BELIAEVA, Tatiana | |
| hal.structure.identifier | Laboratoire de Mathématiques de Besançon (UMR 6623) [LMB] | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | BELLIARD, Jean-Robert | |
| dc.date.accessioned | 2024-04-04T02:25:55Z | |
| dc.date.available | 2024-04-04T02:25:55Z | |
| dc.date.created | 2009-12-04 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/189912 | |
| dc.description.abstractEn | Given $F$ a real abelian field, $p$ an odd prime and $\chi$ any Dirichlet character of $F$ we give a method for computing the $\chi$-index $\displaystyle \left (H^1(G_S,\mathbb{Z}_p(r))^\chi: C^F(r)^\chi\right)$ where the Tate twist $r$ is an odd integer $r\geq 3$, the group $C^F(r)$ is the group of higher circular units, $G_S$ is the Galois group over $F$ of the maximal $S$ ramified algebraic extension of $F$, and $S$ is the set of places of $F$ dividing $p$. This $\chi$-index can now be computed in terms only of elementary arithmetic of finite fields $\FM_\ell$. Our work generalizes previous results by Kurihara who used the assumption that the order of $\chi$ divides $p-1$. | |
| dc.language.iso | fr | |
| dc.subject.en | Galois cohomologie | |
| dc.subject.en | Iwasawa theory | |
| dc.subject.en | cyclotomic fields. | |
| dc.subject.en | cyclotomic fields | |
| dc.title | Indices isotypiques des éléments cyclotomiques. | |
| dc.type | Document de travail - Pré-publication | |
| dc.subject.hal | Mathématiques [math]/Théorie des nombres [math.NT] | |
| dc.identifier.arxiv | 0912.0819 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| hal.identifier | hal-00438674 | |
| hal.version | 1 | |
| hal.audience | Non spécifiée | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00438674v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.title=Indices%20isotypiques%20des%20%C3%A9l%C3%A9ments%20cyclotomiques.&rft.atitle=Indices%20isotypiques%20des%20%C3%A9l%C3%A9ments%20cyclotomiques.&rft.au=BELIAEVA,%20Tatiana&BELLIARD,%20Jean-Robert&rft.genre=preprint |
Fichier(s) constituant ce document
| Fichiers | Taille | Format | Vue |
|---|---|---|---|
|
Il n'y a pas de fichiers associés à ce document. |
|||