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The Motivic Cohomology of Stiefel Varieties

Published online by Cambridge University Press:  21 November 2011

Ben Williams
Ben Williams*
Affiliation:
USC, Department of Mathematics, Kaprielian Hall, 3620 South Vermont Avenue, Los Angeles, CA 90089-2532tbwillia@usc.edu
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Abstract

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.

Keywords

Motivic cohomologyhigher Chow groupsreduced power operationsStiefel varieties
Type
Research Article
Information
Journal of K-Theory , Volume 10 , Issue 1 , August 2012 , pp. 141 - 163
Copyright
Copyright © ISOPP 2011

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