Shells of twisted flag varieties and the Rost invariant

S. Garibaldi; V. Petrov; N. Semenov

doi:10.1215/00127094-3165434

Abstract

We introduce two new general methods to compute the Chow motives of twisted flag varieties and settle a 20-year-old conjecture of Markus Rost about the Rost invariant for groups of type $\mathrm {E}_{7}$ .

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S. Garibaldi. V. Petrov. N. Semenov. "Shells of twisted flag varieties and the Rost invariant." Duke Math. J. 165 (2) 285 - 339, 1 February 2016. https://doi.org/10.1215/00127094-3165434

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Received: 22 October 2013; Revised: 10 January 2015; Published: 1 February 2016

First available in Project Euclid: 19 January 2016

zbMATH: 1344.14004

MathSciNet: MR3457675

Digital Object Identifier: 10.1215/00127094-3165434

Subjects:

Primary: 20G15

Secondary: 14C15 , 20G41

Keywords: Chow motives , equivariant Chow groups , linear algebraic groups , Rost invariant , twisted flag varieties

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