Equivariant cycles and cancellation for motivic cohomology
Documenta mathematica, Tome 20 (2015), pp. 269-332
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.
@article{10_4171_dm_491,
author = {J. Heller and M. Voineagu and P. A. {\O}stv{\ae}r},
title = {Equivariant cycles and cancellation for motivic cohomology},
journal = {Documenta mathematica},
pages = {269--332},
year = {2015},
volume = {20},
doi = {10.4171/dm/491},
url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/491/}
}
J. Heller; M. Voineagu; P. A. Østvær. Equivariant cycles and cancellation for motivic cohomology. Documenta mathematica, Tome 20 (2015), pp. 269-332. doi: 10.4171/dm/491
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