The slice filtration and mixed Tate motives
The slice filtration and mixed Tate motives
Using the 'slice filtration', defined by effectivity conditions on Voevodsky's triangulated motives, we define spectral sequences converging to their motivic cohomology and étale motivic cohomology. These spectral sequences are particularly interesting in the case of mixed Tate motives as their -terms then have a simple description. In particular this yields …