On the motivic spectral sequence
K-Theory and Homology
2015-12-02 v2 Algebraic Geometry
Algebraic Topology
Abstract
It is shown that the Grayson tower for -theory of smooth algebraic varieties is isomorphic to the slice tower of -spectra. We also extend the Grayson tower to bispectra and show that the Grayson motivic spectral sequence is isomorphic to the motivic spectral sequence produced by the Voevodsky slice tower for the motivic -theory spectrum . This solves Suslin's problem for these two spectral sequences in the affirmative.
Keywords
Cite
@article{arxiv.1210.2242,
title = {On the motivic spectral sequence},
author = {Grigory Garkusha and Ivan Panin},
journal= {arXiv preprint arXiv:1210.2242},
year = {2015}
}
Comments
This is the final revised version