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Cycles, Transfers, and Motivic Homology Theories. (Am-143) - Voevodsky, Vladimir Suslin, Andrei Friedlander, Eric M.
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Voevodsky, Vladimir Suslin, Andrei Friedlander, Eric M.:

Cycles, Transfers, and Motivic Homology Theories. (Am-143) - Taschenbuch

ISBN: 9780691048154

[ED: Taschenbuch], [PU: PRINCETON UNIV PR], 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. Table of contents: 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 239 256 pages - 9 x 6 in Versandfertig in über 4 Wochen, [SC: 0.00], Neuware, gewerbliches Angebot

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Cycles, Transfers, And Motivic Homology Theories
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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. 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. Books, Science and Geography~~Mathematics~~Algebra, Cycles, Transfers, And Motivic Homology Theories~~Book~~9780691048154~~Vladimir Voevodsky, Andrei Suslin, Eric M. Friedlander, , , , , , , , , ,, [PU: Princeton University Press]

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ISBN: 9780691048154

ID: 9780691048154

Cycles, Transfers, and Motivic Homology Theories: Paperback: Princeton University Press: 9780691048154: 04 Apr 2000: 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 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. Algebra, , , , , , , , , , , ,, [PU: Princeton University Press]

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Cycles, Transfers, and Motivic Homology Theories. (Am-143) - Voevodsky, Vladimir / Suslin, Andrei / Friedlander, Eric M.
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Cycles, Transfers, and Motivic Homology Theories. (Am-143) - gebrauchtes Buch

ISBN: 9780691048154

ID: 2547234

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. (Am-143) Voevodsky, Vladimir / Suslin, Andrei / Friedlander, Eric M., Princeton University Press

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Cycles, Transfers, and Motivic Homology Theories - Vladimir Voevodsky; Andrei Suslin; Eric M. Friedlander
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Vladimir Voevodsky; Andrei Suslin; Eric M. Friedlander:
Cycles, Transfers, and Motivic Homology Theories - Taschenbuch

2000, ISBN: 9780691048154

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Cycles, Transfers, and Motivic Homology Theories. (Am-143)
Autor:

Voevodsky, Vladimir; Suslin, Andrei; Friedlander, Eric M.

Titel:

Cycles, Transfers, and Motivic Homology Theories. (Am-143)

ISBN-Nummer:

0691048150

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.

Detailangaben zum Buch - Cycles, Transfers, and Motivic Homology Theories. (Am-143)


EAN (ISBN-13): 9780691048154
ISBN (ISBN-10): 0691048150
Taschenbuch
Erscheinungsjahr: 2000
Herausgeber: PRINCETON UNIV PR
256 Seiten
Gewicht: 0,376 kg
Sprache: eng/Englisch

Buch in der Datenbank seit 28.05.2007 02:02:14
Buch zuletzt gefunden am 20.02.2017 21:16:38
ISBN/EAN: 0691048150

ISBN - alternative Schreibweisen:
0-691-04815-0, 978-0-691-04815-4

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