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arXiv · 1304.5867

Equivariant cycles and cancellation for motivic cohomology

Jeremiah Heller·Mircea Voineagu·Paul Arne Ostvaer
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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.

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Jeremiah Heller, Mircea Voineagu, Paul Arne Ostvaer. 2014-08-10. Equivariant cycles and cancellation for motivic cohomology. https://arxiv.org/abs/1304.5867

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