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The Arithmetic and Geometry of Algebraic Cycles

  • Book
  • © 2000

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Editors:
  1. B. Brent Gordon

    1. University of Oklahoma, Norman, USA

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  2. James D. Lewis

    1. University of Alberta, Edmonton, Canada

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  3. Stefan Müller-Stach

    1. Universität-GH-Essen, Essen, Germany

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  4. Shuji Saito

    1. Tokyo Institute of Technology, Tokyo, Japan

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  5. Noriko Yui

    1. Queen’s University, Kingston, Canada

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Part of the book series: Nato Science Series C: (ASIC, volume 548)

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Table of contents (21 chapters)

  1. Front Matter

    Pages i-xxx
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  2. Cohomological Methods

    1. Front Matter

      Pages 1-1
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    2. Lectures on Algebro-Geometric Chern-Weil and Cheeger-Chern-Simons Theory for Vector Bundles

      • Spencer Bloch, Hélène Esnault
      Pages 3-28

    3. Deligne Cohomology and the Geometric (Co-)Bar Constructions

      • Paweł Gajer
      Pages 29-50

    4. Kuga-Satake Varieties and the Hodge Conjecture

      • Bert van Geemen
      Pages 51-82

    5. Hodge and Well Classes on Abelian Varieties

      • V. Kumar Murty
      Pages 83-115

    6. Bloch-Kato Conjecture and Motivic Cohomology with Finite Coefficients

      • Andrei Suslin, Vladimir Voevodsky
      Pages 117-189

  3. Chow Groups and Motives

    1. Front Matter

      Pages 191-191
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    2. Indecomposable Higher Chow Cycles

      • B. Brent Gordon, James D. Lewis
      Pages 193-224

    3. Equivalence Relations on Algebraic Cycles

      • Uwe Jannsen
      Pages 225-260

    4. Letter from Jannsen to Gross on higher Abel-Jacobi maps

      • B. Brent Gordon, James D. Lewis, Stefan Müller-Stach, Shuji Saito, Noriko Yui
      Pages 261-275

    5. Finiteness of Torsion in the Codimension-Two Chow Group: An Axiomatic Approach

      • Andreas Langer
      Pages 277-284

    6. Algebraic Cycle Complexes

      • Stefan Müller-Stach
      Pages 285-305

    7. Algebraic Cycles on Abelian Varieties

      • J. P. Murre
      Pages 307-320

    8. Motives and Filtrations on Chow Groups, II

      • Shuji Saito
      Pages 321-346

    9. Zero Cycles on Singular Varieties

      • V. Srinivas
      Pages 347-382
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Keywords

About this book

The NATO Advanced Study Institute on "The Arithmetic and Geometry of Algebraic Cycles" was held at the Banff Centre for Conferences in Banff (Al­ berta, Canada) from June 7 until June 19, 1998. This meeting was organized jointly with Centre de Recherches Mathematiques (CRM), Montreal, as one of the CRM Summer schools which take place annually at the Banff Center. The conference also served as the kick-off activity of the CRM 1998-99 theme year on Number Theory and Arithmetic Geometry. There were 109 participants who came from 17 countries: Belgium, Canada, China, France, Germany, Greece, India, Italy, Japan, Mexico, Netherlands, - mania, Russia, Spain, Switzerland, the United Kingdom and the United States. During a period of two weeks, 41 invited lectures and 20 contributed lec­ tures were presented. Four lectures by invited speakers were delivered every day, followed by two sessions of contributed talks. Many informal discussions and working sessions involving small groups were organized by individual partic­ ipants. In addition, participants' reprints and preprints were displayed through­ out in a lounge next to the auditorium, which further enhanced opportunities for communication and interaction.

Editors and Affiliations

  • University of Oklahoma, Norman, USA

    B. Brent Gordon

  • University of Alberta, Edmonton, Canada

    James D. Lewis

  • Universität-GH-Essen, Essen, Germany

    Stefan Müller-Stach

  • Tokyo Institute of Technology, Tokyo, Japan

    Shuji Saito

  • Queen’s University, Kingston, Canada

    Noriko Yui

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