Mixed motives

Name: Mixed motives
ISBN: 9780821807859

Marc Levine

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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.

Категории:

Mathematics - Geometry and Topology

Тип съдържание:

Книги

Година:

1998

Издателство:

American Mathematical Society

Език:

english

Страници:

523