The Motivic Cohomology of Stiefel Varieties

Details The Motivic Cohomology of Stiefel Varieties The Motivic Cohomology of Stiefel Varieties

2011-05-21

arxiv.org/abs/1105.4233v1

Mathematics

K-Theory and Homology

Scientific paper

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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