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ON THE MOTIVIC SPECTRAL SEQUENCE
Published online by Cambridge University Press: 25 November 2015
Abstract
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 $\mathit{KGL}$. This solves Suslin’s problem about these two spectral sequences in the affirmative.
MSC classification
- Type
- Research Article
- Information
- Journal of the Institute of Mathematics of Jussieu , Volume 17 , Issue 1 , February 2018 , pp. 137 - 170
- Copyright
- © Cambridge University Press 2015
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