Ebook: Mixed motives
Author: Marc Levine
- Genre: Mathematics // Algebra
- Series: Mathematical surveys and monographs 57
- Year: 1998
- Publisher: American Mathematical Society
- City: Providence, R.I
- Language: English
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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.
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