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On motivic decompositions arising from the method of Bialynicki-Birula.
- Source :
-
Inventiones Mathematicae . Jul2005, Vol. 161 Issue 1, p91-111. 21p. - Publication Year :
- 2005
-
Abstract
- 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 A. Bialynicki-Birula and a corollary, which is essentially due to S. del Baño, 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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00209910
- Volume :
- 161
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Inventiones Mathematicae
- Publication Type :
- Academic Journal
- Accession number :
- 17225882
- Full Text :
- https://doi.org/10.1007/s00222-004-0419-7