Duke Mathematical Journal

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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Primary Subjects: 20G15 14F42
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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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