Del 57 - Mathematical Surveys and Monographs

Mixed Motives

Häftad, Engelska, 1998

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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.

Produktinformation

Utgivningsdatum1998-12-30
FormatHäftad
SpråkEngelska
SerieMathematical Surveys and Monographs
FörlagAmerican Mathematical Society
ISBN9781470480196

Tillhör följande kategorier

Matematik inom Naturvetenskap och teknik
Algebra inom Naturvetenskap och teknik

Part I. MotivesI. The motivic categoryII. Motivic cohomology and higher Chow groupsIII. K-theory and motivesIV. Homology, cohomology, and dualityV. Realization of the motivic categoryVI. Motivic constructions and comparisonsAppendix A. Equi-dimensional cyclesAppendix B. K-theoryPart II. Categorical algebraI. Symmetric monoidal structuresII. DG categories and triangulated categoriesIII. Simplicial and cosimplicial constructionsIV. Canonical models for cohomology