Cycles, Transfers, and Motivic Homology Theories. Annals of Mathematics Studies, No. 143 pdf epub mobi txt 电子书下载 2024

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Vladimir Voevodsky

Princeton University Press

2000-4-4

254

USD 65.00

Paperback

Annals of Mathematics Studies

9780691048154

图书标签: 数学代数几何

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发表于2024-11-07

Cycles, Transfers, and Motivic Homology Theories. Annals of Mathematics Studies, No. 143 epub 下载 mobi 下载 pdf 下载 txt 电子书下载 2024

Cycles, Transfers, and Motivic Homology Theories. Annals of Mathematics Studies, No. 143 pdf epub mobi txt 电子书下载 2024

图书描述

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.

Cycles, Transfers, and Motivic Homology Theories. Annals of Mathematics Studies, No. 143 下载 mobi epub pdf txt 电子书