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ON THE MOTIVIC SPECTRAL SEQUENCE
- Source :
- Journal of the Institute of Mathematics of Jussieu. 17:137-170
- Publication Year :
- 2015
- Publisher :
- Cambridge University Press (CUP), 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 $KGL$. This solves Suslin's problem for these two spectral sequences in the affirmative.<br />Comment: This is the final revised version
- Subjects :
- Pure mathematics
General Mathematics
010102 general mathematics
K-Theory and Homology (math.KT)
Algebraic variety
Mathematics::Algebraic Topology
01 natural sciences
Tower (mathematics)
Spectrum (topology)
Motivic cohomology
Mathematics - Algebraic Geometry
Mathematics::K-Theory and Homology
Algebraic K-theory
Mathematics - K-Theory and Homology
19E08, 55T99
0103 physical sciences
Spectral sequence
FOS: Mathematics
Algebraic Topology (math.AT)
Mathematics - Algebraic Topology
010307 mathematical physics
0101 mathematics
Algebraic Geometry (math.AG)
Mathematics
Subjects
Details
- ISSN :
- 14753030 and 14747480
- Volume :
- 17
- Database :
- OpenAIRE
- Journal :
- Journal of the Institute of Mathematics of Jussieu
- Accession number :
- edsair.doi.dedup.....eab717eb9cc06c6e197d223a39da1cb6