V. Chernousov: Another proof of Totaro's theorem on splitting fields of $E_8$-torsors.


Submission: 2005, Dec 9

We give a short proof of Totaro's theorem that every $E_8$-torsor becomes trivial over a finite separable extension of the ground field of degree dividing $2^6 3^25$.

2000 Mathematics Subject Classification: 11E72, 14M17, 20G15

Keywords and Phrases: Torsors, splitting fields

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