Motives of Azumaya algebras

DOI10.1017/S1474748010000022zbMath1195.14007arXiv0710.1614MaRDI QIDQ3569368

Kahn, Bruno, Marc N. Levine

Publication date: 18 June 2010

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.1614

zbMATH Keywords

algebraic cyclesAzumaya algebrasMorel-Voevodsky stable homotopy categoryslice filtrationBloch-Lichtenbaum spectral sequenceSeveri-Brauer schemes

Mathematics Subject Classification ID

Stable homotopy theory, spectra (55P42) Algebraic cycles (14C25) (K)-theory of schemes (19E08) Motivic cohomology; motivic homotopy theory (14F42) Algebraic cycles and motivic cohomology ((K)-theoretic aspects) (19E15)

Related Items (7)

Voevodsky's mixed motives versus Kontsevich's noncommutative mixed motives ⋮ Equivariant algebraic \(K\)-theory, \(G\)-theory and derived completions ⋮ Triangulated categories of framed bispectra and framed motives ⋮ ON THE MOTIVIC SPECTRAL SEQUENCE ⋮ On a spectral sequence for equivariant \(K\)-theory ⋮ On a theorem of Hazrat and Hoobler ⋮ On Chow-weight homology of geometric motives

Cites Work

• Homology of symmetric products and other functors of complexes
• Modules over motivic cohomology
• Mixed motives and the slice filtration
• Local and stable homological algebra in Grothendieck abelian categories
• Torsion in \(K_ 2\) of fields
• The Geisser-Levine method revisited and algebraic cycles over a finite field
• Motives and modules over motivic cohomology
• K-cohomology of regular schemes
• The slice filtration and mixed Tate motives
• Projective Modules Over Central Separable Algebras
• \(\mathbb{A}^1\)-homotopy theory of schemes
• Spectra and symmetric spectra in general model categories

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