Abstract
We prove that except for several already known cases, the generic torus of a simple (adjoint or simply connected) group is not stably rational. This confirms a conjecture by Le Bruyn on generic norm tori.
| Original language | English |
|---|---|
| Pages (from-to) | 771-793 |
| Number of pages | 23 |
| Journal | Journal of Algebra |
| Volume | 225 |
| Issue number | 2 |
| DOIs | |
| State | Published - 15 Mar 2000 |
| Externally published | Yes |
Bibliographical note
Funding Information:1Research was partially supported by the Ministry of Absorption (Israel), the Israel Science Foundation founded by the Israel Academy of Sciences and Humanities, and the Minerva Foundation through the Emmy Noether Research Institute.
Funding
1Research was partially supported by the Ministry of Absorption (Israel), the Israel Science Foundation founded by the Israel Academy of Sciences and Humanities, and the Minerva Foundation through the Emmy Noether Research Institute.
| Funders |
|---|
| Emmy Noether Research Institute for Mathematics |
| Ministry of Absorption |
| Minerva Foundation |
| Israel Academy of Sciences and Humanities |
| Israel Science Foundation |
Keywords
- Linear algebraic group; generic torus; birational invariant