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

Canadian mathematical bulletin

关键词: convex body;    geometric inequality;    thickness;    Minkowski space;    Banach space;    normed space;    reduced body;    Banach-Mazur compactum;    (modified) Banach-Mazur distance;    volume ratio;   

DOI  :  10.4153/CMB-2006-020-5

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

We give a short proof of Totaro's theorem that every$E_8$-torsor overa field $k$ becomes trivial over a finiteseparable extension of $k$ofdegree dividing $d(E_8)=2^63^25$.

【 授权许可】

Unknown