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Rost motives, affine varieties, and classifying spaces

Rost motives, affine varieties, and classifying spaces

In this article we investigate ordinary and equivariant Rost motives. We provide an equivariant motivic decomposition of the variety of full flags of a split semisimple algebraic group G over a field, a motivic decomposition of E / B for a G-torsor E over a smooth base scheme, study torsion …