Equivariant cycles and cancellation for motivic cohomology
Algebraic Geometry
2014-08-12 v3 Algebraic Topology
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.
Keywords
Cite
@article{arxiv.1304.5867,
title = {Equivariant cycles and cancellation for motivic cohomology},
author = {Jeremiah Heller and Mircea Voineagu and Paul Arne Ostvaer},
journal= {arXiv preprint arXiv:1304.5867},
year = {2014}
}
Comments
Minor expositional changes, typo fixes, and corrections in Section 8. Mathematical content unchanged