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stiefel varieties

Journal of K-Theory (1)

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The Motivic Cohomology of Stiefel Varieties
Ben Williams
Journal:

Journal of K-Theory / Volume 10 / Issue 1 / August 2012

Published online by Cambridge University Press:

21 November 2011, pp. 141-163

Print publication:

August 2012
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The main result of this paper is a computation of the motivic cohomology of varieties of n × 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 -equivalent to projective n — 1-space with a disjoint basepoint.