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On the Motivic Spectral Sequence by Garkusha, Grigory; Panin, Ivan is a scholarly article available to read on EtoBox.

What is On the Motivic Spectral Sequence about?

It is shown that the Grayson tower for $K$-theory of smooth algebraic varieties is isomorphic to the slice tower of $S^1$-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.

Author

Garkusha, Grigory; Panin, Ivan

Published

2012

Language

EN