Mixed Motives
- ISBN-10
- 0821807854
- ISBN-13
- 9780821807859
- Category
- Mathematics
- Pages
- 515
- Language
- English
- Published
- 1998
- Publisher
- American Mathematical Soc.
- Author
- Marc Levine
Description
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.
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