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arXiv · 1105.4233

The Motivic Cohomology of Stiefel Varieties

Ben Williams
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Abstract

The main result of this paper is a computation of the motivic cohomology of varieties of n \times m-matrices of of rank m, including both the ring structure and the action of the reduced power operations. The argument proceeds by a comparison of the general linear group-scheme with a Tate suspension of a space which is A1-equivalent to projective n - 1-space with a disjoint basepoint.

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Ben Williams. 2011-05-21. The Motivic Cohomology of Stiefel Varieties. https://doi.org/10.2140/agt.2013.13.747

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