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.

About the Author
Marc Levine, Northeastern University, Boston, MA

Reviews
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



Book Information
ISBN 9781470480196
Author Marc Levine
Format Paperback
Page Count 515
Imprint American Mathematical Society
Publisher American Mathematical Society