Asymptotic cohomology of circular units
| 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 | 2024-04-04T03:05:00Z | |
| dc.date.available | 2024-04-04T03:05:00Z | |
| dc.date.created | 2007-11-14 | |
| dc.date.issued | 2009-11 | |
| dc.identifier.issn | 1793-0421 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/193207 | |
| dc.description.abstractEn | Let $F$ be a number field, abelian over the rational field, and fix a odd prime number $p$. Consider the cyclotomic $Z_p$-extension $F_\infty/F$ and denote $F_n$ the ${n}^{\rm th}$ finite subfield and $C_n$ its group of circular units. Then the Galois groups $G_{m,n}=\Gal(F_m/F_n)$ act naturally on the $C_m$'s (for any $m\geq n>> 0$). We compute the Tate cohomology groups $\Hha^i(G_{m,n}, C_m)$ for $i=-1,0$ without assuming anything else neither on $F$ nor on $p$. | |
| dc.language.iso | en | |
| dc.publisher | World Scientific Publishing | |
| dc.title.en | Asymptotic cohomology of circular units | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1142/S179304210900264X | |
| dc.subject.hal | Mathématiques [math]/Théorie des nombres [math.NT] | |
| dc.identifier.arxiv | 0711.2739 | |
| bordeaux.journal | International Journal of Number Theory | |
| bordeaux.page | 1205-1219 | |
| 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-00188924 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00188924v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=International%20Journal%20of%20Number%20Theory&rft.date=2009-11&rft.spage=1205-1219&rft.epage=1205-1219&rft.eissn=1793-0421&rft.issn=1793-0421&rft.au=BELLIARD,%20Jean-Robert&rft.genre=article |
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