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Mathematical Surveys and Monographs
1998; 515 pp; hardcover
List Price: US$132
Member Price: US$105.60
Order Code: SURV/57
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.
Graduate students and research mathematicians interested in algebraic geometry and \(K\)-theory.
"All in all, everyone interested in mixed motives and willing to take a serious look at the topic, should try his/her hand on this impressive work."
-- Zentralblatt MATH
"We must go out of our way to ensure that our libraries acquire books like this, and then we should `encourage' our best PhD students to read them!"
-- Bulletin of the London Mathematical Society
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