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Mixed Motives

Marc Levine

出版	American Mathematical Soc., 1998
主題	Mathematics / Geometry / AlgebraicMathematics / Topology
ISBN	08218078549780821807859
URL	http://books.google.com.hk/books?id=wufxBwAAQBAJ&hl=&source=gbs_api
EBook	SAMPLE

註釋

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.