Weak approximation, Brauer and R-equivalence in algebraic groups over arithmetical fields
| dc.creator | Thang, Nguyen Quoc | |
| dc.date | 1997-11-12 | |
| dc.date | 1997-12-31 | |
| dc.date.accessioned | 2026-07-07T01:51:17Z | |
| dc.date.available | 2026-07-07T01:51:17Z | |
| dc.description | We prove some new relations between weak approximation and some rational equivalence relations (Brauer and R-equivalence) in algebraic groups over arithmetical fields. By using weak approximation and local - global approach, we compute completely the group of Brauer equivalence classes of connected linear algebraic groups over number fields, and also completely compute the group of R-equivalence classes of connected linear algebraic groups $G$, which either are defined over a totally imaginary number field, or contains no anisotropic almost simple factors of exceptional type $^{3,6}\D_4$, nor $\E_6$. We discuss some consequences derived from these, e.g., by giving some new criteria for weak approximation in algebraic groups over number fields, by indicating a new way to give examples of non stably rational algebraic groups over local fields and application to norm principle. | |
| dc.description | LaTeX 2e, 58 pages, revised and extended | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9711015 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9711015 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/260 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Weak approximation, Brauer and R-equivalence in algebraic groups over arithmetical fields | |
| dc.type | text |