The triangulated category of K-motives DK_-~(eff) (k)

摘要

For any perfect field k a triangulated category of K-motives DK_-~(eff) (k) is constructed in the style of Voevodsky's construction of the categoryDM_-~(eff) (k) To each smooth k-variety X the K-motive MK.X/ is associated in the category DK_-~(eff) (k) and K_n(X) D Hom_(DK_-~(eff)(k))(M_K(X)[n],M_K.pt)), n?Z, where pt D Spec(k) and K.X/ is Quillen's K-theory of X.