Motivic decomposition of isotropic projective homogeneous varieties
Vladimir Chernousov, Stefan Gille, and Alexander Merkurjev
Source: Duke Math. J. Volume 126, Number 1
(2005), 137-159.
Abstract
We give a decomposition of the Chow motive of an isotropic projective homogeneous variety of a semisimple algebraic group in terms of twisted motives of simpler projective homogeneous varieties. As an application, we prove a generalization of Rost's nilpotence theorem.
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.dmj/1103136477
Mathematical Reviews number (MathSciNet): MR2110630
Digital Object Identifier: doi:10.1215/S0012-7094-04-12614-4
Zentralblatt MATH identifier: 1086.14041
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Duke Mathematical Journal