Mixed Motives

Häftad, Engelska, 1998

Del i serien Mathematical Surveys and Monographs

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Beskrivning

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

Utgivningsdatum:1998-12-30
Format:Häftad
Språk:Engelska
Serie:Mathematical Surveys and Monographs
Antal sidor:515
Förlag:American Mathematical Society
ISBN:9781470480196

Utforska kategorier

Matematik inom Naturvetenskap och teknik
Algebra inom Naturvetenskap och teknik

Mer om författaren

Marc Levine, Northeastern University, Boston, MA

Recensioner i media

All in all, everyone interested in mixed motives and willing to take a serious look at the topic, should try his/her hand on this impressive work. — Zentralblatt MATH We must go out of our way to ensure that our libraries acquire books like this, and then we should ‘encourage' our best PhD students to read them! ""— Bulletin of the London Mathematical Society

Innehållsförteckning

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