 |
|
Another Proof of Totaro's Theorem on $E_8$-Torsors |
Published:2006-06-01
Printed: Jun 2006
Printed: Jun 2006
- Vladimir Chernousov
Abstract
We give a short proof of Totaro's theorem that every$E_8$-torsor over
a field $k$ becomes trivial over a finiteseparable extension of $k$of
degree dividing $d(E_8)=2^63^25$.
| MSC Classifications: |
11E72 - Galois cohomology of linear algebraic groups [See also 20G10] 14M17 - Homogeneous spaces and generalizations [See also 32M10, 53C30, 57T15] 20G15 - Linear algebraic groups over arbitrary fields |