JournalsdmVol. 20pp. 269–332

Equivariant cycles and cancellation for motivic cohomology

  • J. Heller

    Mathematisches Institut UNSW Sydney University of Bonn NSW 2052 Australia Germany

  • M. Voineagu

    Mathematisches Institut UNSW Sydney University of Bonn NSW 2052 Australia Germany

  • P.A. Østvær

    Department of Mathematics University of Oslo Norway
Equivariant cycles and cancellation for motivic cohomology cover
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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