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Annals of Mathematics Studies: Cycles, Transfers, and Motivic Homology Theories…

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eBay item number:256832736575
Last updated on 02 Mar, 2025 04:41:57 AEDSTView all revisionsView all revisions

Item specifics

Condition
Very good: A book that does not look new and has been read but is in excellent condition. No obvious ...
ISBN
9780691048154

About this product

Product Identifiers

Publisher
Princeton University Press
ISBN-10
0691048150
ISBN-13
9780691048154
eBay Product ID (ePID)
367613

Product Key Features

Number of Pages
256 Pages
Language
English
Publication Name
Cycles, Transfers, and Motivic Homology Theories
Publication Year
2000
Subject
Topology, Geometry / Algebraic
Type
Textbook
Author
Eric M. Friedlander, Andrei Suslin, Vladimir Voevodsky
Subject Area
Mathematics
Series
Annals of Mathematics Studies
Format
Trade Paperback

Dimensions

Item Height
0.6 in
Item Weight
14 Oz
Item Length
9.2 in
Item Width
7.4 in

Additional Product Features

Intended Audience
College Audience
LCCN
00-100291
Series Volume Number
143
Illustrated
Yes
Table Of Content
Chapter 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
Synopsis
Aims 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 Number
QA564.V64 2000

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