ENGLISH

Mixed motives

By Marc Levine

Book information

Publisher
American Mathematical Society
Year
1998
ISBN
0-8218-0785-4, 9780821807859, 87-1958-330-3
Language
english
Format
DJVU
Filesize
4 MB (3997357 bytes)
Series
Mathematical Surveys and Monographs 057
Pages
529\529
Library
kolxoz
DPI
600
Time added
2015-12-12 14:00:00

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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