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This book combines foundational construction 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.
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.
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.
- Format: Inbunden
- ISBN: 9780821807859
- Språk: Engelska
- Antal sidor: 525
- Utgivningsdatum: 1998-09-01
- Förlag: American Mathematical Society