Motivic decomposition of isotropic projective homogeneous varieties
Chernousov, Vladimir ; Gille, Stefan ; Merkurjev, Alexander
Duke Math. J., Tome 126 (2005) no. 1, p. 137-159 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
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.
Publié le : 2005-01-15
Classification:  20G15 14F42 
@article{1103136477,
     author = {Chernousov, Vladimir and Gille, Stefan and Merkurjev, Alexander},
     title = {Motivic decomposition of isotropic projective homogeneous varieties},
     journal = {Duke Math. J.},
     volume = {126},
     number = {1},
     year = {2005},
     pages = { 137-159},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1103136477}
}

Chernousov, Vladimir; Gille, Stefan; Merkurjev, Alexander. Motivic decomposition of isotropic projective homogeneous varieties. Duke Math. J., Tome 126 (2005) no. 1, pp.  137-159. http://gdmltest.u-ga.fr/item/1103136477/