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arXiv · 1506.07788

Rost motives, affine varieties, and classifying spaces

Victor Petrov·Nikita Semenov
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Abstract

In the present article we investigate ordinary and equivariant Rost motives. We provide an equivariant motivic decomposition of the variety X of full flags of a split semisimple algebraic group over a smooth base scheme, study torsion subgroup of the Chow group of twisted forms of X, define some equivariant Rost motives over a field and ordinary Rost motives over a general base scheme, and relate equivariant Rost motives with classifying spaces of some algebraic groups.

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Victor Petrov, Nikita Semenov. 2015-06-25. Rost motives, affine varieties, and classifying spaces. https://doi.org/10.1112/jlms.12040

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