On the motivic spectral sequence
Garkusha, Grigory · Panin, Ivan
Original · EN
It is shown that the Grayson tower for K-theory of smooth algebraic varieties is isomorphic to the slice tower of S¹-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 K-theory spectrum KGL. This solves Suslin's problem for these two spectral sequences in the affirmative.
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