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arXiv · 1210.2242

On the motivic spectral sequence

Grigory Garkusha·Ivan Panin
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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 $KGL$. This solves Suslin's problem for these two spectral sequences in the affirmative.

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BibTeXRIS

Grigory Garkusha, Ivan Panin. 2015-10-18. On the motivic spectral sequence. https://doi.org/10.1017/s1474748015000419

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