Overview

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.

Full Product Details

Author:   Marc Levine
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Edition:   UK ed.
Volume:   57
Dimensions:   Width: 17.80cm , Height: 3.20cm , Length: 25.40cm
Weight:   1.106kg
ISBN:  

9780821807859

ISBN 10:   0821807854
Pages:   525
Publication Date:   30 May 1998
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In stock  
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Table of Contents

Motives: Introduction: Part I The motivic category Motivic cohomology and higher Chow groups K-theory and motives Homology, cohomology and duality Realization of the motivic category Motivic constructions and comparisons Equidimensional cycles K-theory Categorical algebra: Introduction: Part II Symmetric monoidal structures DG categories and triangulated categories Simplicial and cosimplicial constructions Canonical models for cohomology Bibliography Subject index Index of notation.

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