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Another Proof of Totaro's Theorem on $E_8$-Torsors

  Published:2006-06-01
 Printed: Jun 2006
  • Vladimir Chernousov
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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, 14M17, 20G15 show english descriptions Galois cohomology of linear algebraic groups [See also 20G10]
Homogeneous spaces and generalizations [See also 32M10, 53C30, 57T15]
Linear algebraic groups over arbitrary fields
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
 

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