Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On motivic decompositions arising from the method of Bialynicki-Birula   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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The categories of this paper are: plasm-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
1
The categories of this paper are: cs
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-alg
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The categories of this paper are: econ
8
The categories of this paper are: hep-ex
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The categories of this paper are: math-ph
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The categories of this paper are: eess
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-fin
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The categories of this paper are: adap-org
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The categories of this paper are: astro-ph
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The categories of this paper are: bayes-an