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.
Equivariant cycles and cancellation for motivic cohomology / J. Heller, M. Voineagu, P.A. Oestvaer. - In: DOCUMENTA MATHEMATICA. - ISSN 1431-0643. - 20(2015), pp. 269-332.
Equivariant cycles and cancellation for motivic cohomology
P.A. OestvaerUltimo
2015
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.File in questo prodotto:
File | Dimensione | Formato | |
---|---|---|---|
1304.5867.pdf
accesso riservato
Tipologia:
Post-print, accepted manuscript ecc. (versione accettata dall'editore)
Dimensione
603.54 kB
Formato
Adobe PDF
|
603.54 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.