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Annals of Mathematics Studies: Cycles, Transfers, and Motivic Homology Theories by Eric M. Friedlander, Andrei Suslin and Vladimir Voevodsky (2000, Trade Paperback)
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About this product
Product Identifiers
PublisherPrinceton University Press
ISBN-100691048150
ISBN-139780691048154
eBay Product ID (ePID)367613
Product Key Features
Number of Pages256 Pages
LanguageEnglish
Publication NameCycles, Transfers, and Motivic Homology Theories
Publication Year2000
SubjectTopology, Geometry / Algebraic
TypeTextbook
AuthorEric M. Friedlander, Andrei Suslin, Vladimir Voevodsky
Subject AreaMathematics
SeriesAnnals of Mathematics Studies
FormatTrade Paperback
Dimensions
Item Height0.6 in
Item Weight14 Oz
Item Length9.2 in
Item Width7.4 in
Additional Product Features
Intended AudienceCollege Audience
LCCN00-100291
Series Volume Number143
IllustratedYes
Table Of ContentChapter I Introduction Eric M. Friedlander, A. Suslin, and V. Voevodsky 3 Chapter 2 Relative Cycles and Chow Sheaves Andrei Suslin and Vladimir Voevodsky 10 Chapter 3 Cohomological Theory of Presheaves with Transfers Vladimir Voevodsky 87 Chapter 4 Bivariant Cycle Cohomology Eric M. Friedlander and Vladimir Voevodsky 138 Chapter 5 Triangulated Categories of Motives Over a Field Vladimir Voevodsky 188 Chapter 6 Higher Chow Groups and Etale Cohomology Andrei A. Suslin 239
SynopsisAims to construct "motivic cohomology theory," whose existence was conjectured by A Beilinson and S Lichtenbaum. This is achieved in the book's fourth paper, using results of the other papers whose additional role is to contribute to our understanding of various properties of algebraic cycles., The original goal that ultimately led to this volume was the construction of "motivic cohomology theory" whose existence was conjectured by A. Beilinson and S. Lichtenbaum. This is achieved in the book's fourth paper, using the results of the other papers, whose additional role is to contribute to our understanding of various properties of algebraic cycles. The material presented provides the foundations for the recent proof of the celebrated "Milnor Conjecture" by Vladimir Voevodsky., The original goal that ultimately led to this volume was the construction of "motivic cohomology theory," whose existence was conjectured by A. Beilinson and S. Lichtenbaum. This is achieved in the book's fourth paper, using results of the other papers whose additional role is to contribute to our understanding of various properties of algebraic cycles. The material presented provides the foundations for the recent proof of the celebrated "Milnor Conjecture" by Vladimir Voevodsky. The theory of sheaves of relative cycles is developed in the first paper of this volume. The theory of presheaves with transfers and more specifically homotopy invariant presheaves with transfers is the main theme of the second paper. The Friedlander-Lawson moving lemma for families of algebraic cycles appears in the third paper in which a bivariant theory called bivariant cycle cohomology is constructed. The fifth and last paper in the volume gives a proof of the fact that bivariant cycle cohomology groups are canonically isomorphic (in appropriate cases) to Bloch's higher Chow groups, thereby providing a link between the authors' theory and Bloch's original approach to motivic (co-)homology.
LC Classification NumberQA564.V64 2000
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