Motivic Cohomology, K-Theory and Topological Cyclic Homology

Thomas H. Geisser ()
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Thomas H. Geisser: University of Southern California, Department of Mathematics

Chapter II.1 in Handbook of K-Theory, 2005, pp 193-234 from Springer

Abstract: Abstract We give a survey onmotivic cohomology, higher algebraic K-theory, and topological cyclic homology. We concentrate on results which are relevant for applications in arithmetic algebraic geometry (in particular, we do not discuss non-commutative rings), and our main focus lies on sheaf theoretic results for smooth schemes, which then lead to global results using local-to-global methods.

Keywords: Irreducible Component; Spectral Sequence; Homotopy Group; Discrete Valuation Ring; Minimal Prime Ideal (search for similar items in EconPapers)
Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-27855-9_6

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DOI: 10.1007/978-3-540-27855-9_6

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