On motivic decompositions arising from the method of Bialynicki-Birula

Details On motivic decompositions arising from the method of Bialynicki-Birula On motivic decompositions arising from the method of Bialynicki-Birula

2004-07-16

arxiv.org/abs/math/0407305v3

Mathematics

Algebraic Geometry

Vastly improved with (1) references to important previous work on the subject by S. del Bano, (2) an explicit combinatorial de

Scientific paper

10.1007/s00222-004-0419-7

Recently, V. Chernousov, S. Gille and A. Merkurjev have obtained a decomposition of the motive of an isotropic smooth projective homogeneous variety analogous to the Bruhat decomposition. Using the method of Bialynicki-Birula, I generalize this decomposition to the case of a (possibly anisotropic) smooth projective variety homogeneous under the action of an isotropic reductive group. This answers a question of N. Karpenko.

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