Unramified cohomology of degree 3 and Noether's problem
| dc.creator | Peyre, Emmanuel | |
| dc.date | 2002-12-03 | |
| dc.date.accessioned | 2026-07-07T09:28:40Z | |
| dc.date.available | 2026-07-07T09:28:40Z | |
| dc.description | Let $G$ be a finite group and $W$ be a faithful representation of $G$ over {\bf C}. The group $G$ acts on the field of rational functions $\mathbf C(W)$. The aim of this paper is to give a description of the unramified cohomology group of degree 3 of the field of invariant functions $\mathbf C(W)^G$ in terms of the cohomology of $G$ when $G$ is a group of odd order. This enables us to give an example of a group for which this field is not rational, although its unramified Brauer group is trivial. | |
| dc.identifier | https://arxiv.org/abs/math/0212039 | |
| dc.identifier | http://arxiv.org/abs/math/0212039 | |
| dc.identifier | Invent. Math. 171, No 1, 191-225 (2008) | |
| dc.identifier | doi:10.1007/s00222-007-0080-z | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/157509 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | K-Theory and Homology | |
| dc.subject | 12G05; 14E08; 14F43 | |
| dc.title | Unramified cohomology of degree 3 and Noether's problem | |
| dc.type | text |