A01=Marc Levine
Author_Marc Levine
Category=PBF
Category=PBMW
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Product details
- ISBN 9781470480196
- Publication Date: 30 Dec 1998
- Publisher: American Mathematical Society
- Publication City/Country: US
- Product Form: Paperback
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This book combines foundational constructions in the theory of motives and results relating motivic cohomology to more explicit constructions. Prerequisite for understanding the work is a basic background in algebraic geometry. The author constructs and describes a triangulated category of mixed motives over an arbitrary base scheme. Most of the classical constructions of cohomology are described in the motivic setting, including Chern classes from higher $K$-theory, push-forward for proper maps, Riemann-Roch, duality, as well as an associated motivic homology, Borel-Moore homology and cohomology with compact supports.
Marc Levine, Northeastern University, Boston, MA
