Motivic decomposition of isotropic projective homogeneous varieties

被引：60

作者：

Chernousov, V ^{[1
]}

Gille, S

Merkurjev, A

机构：

[1] Univ Alberta, Dept Math Sci, Edmonton, AB T6G 2G1, Canada

[2] ETH Zentrum, Dept Math, CH-8092 Zurich, Switzerland

[3] Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90095 USA

来源：

DUKE MATHEMATICAL JOURNAL | 2005年 / 126卷 / 01期

关键词：

D O I：

10.1215/S0012-7094-04-12614-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：137 / 159

页数：23

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