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Motives and Algebraic Cycles: A Celebration in Honour of Spencer J. Bloch
 
Edited by: Rob de Jeu VU University Amsterdam, The Netherlands
James D. Lewis University of Alberta, Edmonton, AB, Canada
A co-publication of the AMS and Fields Institute
Motives and Algebraic Cycles
Hardcover ISBN:  978-0-8218-4494-6
Product Code:  FIC/56
List Price: $135.00
MAA Member Price: $121.50
AMS Member Price: $108.00
eBook ISBN:  978-1-4704-1783-3
Product Code:  FIC/56.E
List Price: $126.00
MAA Member Price: $113.40
AMS Member Price: $100.80
Hardcover ISBN:  978-0-8218-4494-6
eBook: ISBN:  978-1-4704-1783-3
Product Code:  FIC/56.B
List Price: $261.00 $198.00
MAA Member Price: $234.90 $178.20
AMS Member Price: $208.80 $158.40
Motives and Algebraic Cycles
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Motives and Algebraic Cycles: A Celebration in Honour of Spencer J. Bloch
Edited by: Rob de Jeu VU University Amsterdam, The Netherlands
James D. Lewis University of Alberta, Edmonton, AB, Canada
A co-publication of the AMS and Fields Institute
Hardcover ISBN:  978-0-8218-4494-6
Product Code:  FIC/56
List Price: $135.00
MAA Member Price: $121.50
AMS Member Price: $108.00
eBook ISBN:  978-1-4704-1783-3
Product Code:  FIC/56.E
List Price: $126.00
MAA Member Price: $113.40
AMS Member Price: $100.80
Hardcover ISBN:  978-0-8218-4494-6
eBook ISBN:  978-1-4704-1783-3
Product Code:  FIC/56.B
List Price: $261.00 $198.00
MAA Member Price: $234.90 $178.20
AMS Member Price: $208.80 $158.40
  • Book Details
     
     
    Fields Institute Communications
    Volume: 562009; 336 pp
    MSC: Primary 11; 14; 16; 19; 55

    Spencer J. Bloch has, and continues to have, a profound influence on the subject of Algebraic \(K\)-Theory, Cycles and Motives. This book, which is comprised of a number of independent research articles written by leading experts in the field, is dedicated in his honour, and gives a snapshot of the current and evolving nature of the subject. Some of the articles are written in an expository style, providing a perspective on the current state of the subject to those wishing to learn more about it. Others are more technical, representing new developments and making them especially interesting to researchers for keeping abreast of recent progress.

    Titles in this series are co-published with the Fields Institute for Research in Mathematical Sciences (Toronto, Ontario, Canada).

    Readership

    Graduate students and research mathematicians interested in algebraic geometry, Hodge theory, K-theory, Motives, and algebraic cycles.

  • Table of Contents
     
     
    • Chapters
    • Donu Arapura — Varieties with very little transcendental cohomology
    • Alexander Beilinson — $\mathcal {E}$-factors for the period determinants of curves
    • Hélène Esnault and Arthur Ogus — Hodge cohomology of invertible sheaves
    • Henri Gillet — Arithmetic intersection theory on Deligne-Mumford stacks
    • Sergey Gorchinskiy — Notes on the biextension of Chow groups
    • Bruno Kahn — Démonstration géométrique du théorème de Lang-Néron et formules de Shioda-Tate
    • Shun-ichi Kimura — Surjectivity of the cycle map for Chow motives
    • N. Kumar, A. Rao and G. Ravindra — On codimension two subvarieties in hypersurfaces
    • Marc Levine — Smooth motives
    • James Lewis — Cycles on varieties over subfields of $\mathbb {C}$ and cubic equivalence
    • Stephen Lichtenbaum — Euler characteristics and special values of zeta-functions
    • Jacob Murre and Dinakar Ramakrishnan — Local Galois symbols on $E\times E$
    • V. Murty — Semiregularity and Abelian varieties
    • Niko Naumann, Markus Spitzweck and Paul Østvær — Chern classes, $K$-theory and Landweber exactness over nonregular base schemes
    • Victor Snaith — Adams operations and motivic reduced powers
    • Jan Stienstra — Chow forms, Chow quotients and quivers with superpotential
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 562009; 336 pp
MSC: Primary 11; 14; 16; 19; 55

Spencer J. Bloch has, and continues to have, a profound influence on the subject of Algebraic \(K\)-Theory, Cycles and Motives. This book, which is comprised of a number of independent research articles written by leading experts in the field, is dedicated in his honour, and gives a snapshot of the current and evolving nature of the subject. Some of the articles are written in an expository style, providing a perspective on the current state of the subject to those wishing to learn more about it. Others are more technical, representing new developments and making them especially interesting to researchers for keeping abreast of recent progress.

Titles in this series are co-published with the Fields Institute for Research in Mathematical Sciences (Toronto, Ontario, Canada).

Readership

Graduate students and research mathematicians interested in algebraic geometry, Hodge theory, K-theory, Motives, and algebraic cycles.

  • Chapters
  • Donu Arapura — Varieties with very little transcendental cohomology
  • Alexander Beilinson — $\mathcal {E}$-factors for the period determinants of curves
  • Hélène Esnault and Arthur Ogus — Hodge cohomology of invertible sheaves
  • Henri Gillet — Arithmetic intersection theory on Deligne-Mumford stacks
  • Sergey Gorchinskiy — Notes on the biextension of Chow groups
  • Bruno Kahn — Démonstration géométrique du théorème de Lang-Néron et formules de Shioda-Tate
  • Shun-ichi Kimura — Surjectivity of the cycle map for Chow motives
  • N. Kumar, A. Rao and G. Ravindra — On codimension two subvarieties in hypersurfaces
  • Marc Levine — Smooth motives
  • James Lewis — Cycles on varieties over subfields of $\mathbb {C}$ and cubic equivalence
  • Stephen Lichtenbaum — Euler characteristics and special values of zeta-functions
  • Jacob Murre and Dinakar Ramakrishnan — Local Galois symbols on $E\times E$
  • V. Murty — Semiregularity and Abelian varieties
  • Niko Naumann, Markus Spitzweck and Paul Østvær — Chern classes, $K$-theory and Landweber exactness over nonregular base schemes
  • Victor Snaith — Adams operations and motivic reduced powers
  • Jan Stienstra — Chow forms, Chow quotients and quivers with superpotential
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
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