Equivariant cycles and cancellation for motivic cohomology
J. Heller
Mathematisches Institut, University of Bonn, GermanyM. Voineagu
UNSW Sydney, NSW 2052, AustraliaP. A. Østvær
Department of Mathematics, University of Oslo, Norway

Abstract
We introduce a Bredon motivic cohomology theory for smooth schemes defined over a field and equipped with an action by a finite group. These cohomology groups are defined for finite dimensional representations as the hypercohomology of complexes of equivariant correspondences in the equivariant Nisnevich topology. We generalize the theory of presheaves with transfers to the equivariant setting and prove a Cancellation Theorem.
Cite this article
J. Heller, M. Voineagu, P. A. Østvær, Equivariant cycles and cancellation for motivic cohomology. Doc. Math. 20 (2015), pp. 269–332
DOI 10.4171/DM/491