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Transcendental Aspects of Algebraic Cycles

Transcendental Aspects of Algebraic Cycles

Transcendental Aspects of Algebraic Cycles

Proceedings of the Grenoble Summer School, 2001
S. Müller-Stach , Johannes Gutenberg Universität Mainz, Germany
C. Peters , Université de Grenoble
May 2004
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    Topics range from introductory lectures on algebraic cycles to more advanced material in this collection of lecture notes from the Proceedings of the Grenoble Summer School, 2001. The advanced lectures are grouped under three headings: Lawson (co)homology, motives and motivic cohomology and Hodge theoretic invariants of cycles. As the lectures were intended for non-specialists, many examples have been included.

    • Designed for non-specialists with lots of illustrative examples
    • Contains introductory material as well as advanced topics, ideal for those entering the field

    Product details

    January 2011
    Adobe eBook Reader
    9780511893971
    0 pages
    0kg
    1 b/w illus.
    This ISBN is for an eBook version which is distributed on our behalf by a third party.

    Table of Contents

    • Part I. Introductory Material:
    • 1. Chow varieties, the Euler-Chow series and the total coordinate ring J. Elizondo
    • 2. Introduction to Lawson homology C. Peters and S. Kosarew
    • Part II. Lawson (Co)homology:
    • 3. Topological properties of the algebraic cycles functor P. Lima-Filho
    • Part III. Motives and Motivic Cohomology:
    • 4. Lectures on motives J. P. Murre
    • 5. A short introduction to higher Chow groups P. Elbaz-Vincent
    • Part IV. Hodge Theoretic Invariants of Cycles:
    • 6. Three lectures on the Hodge conjecture J. D. Lewis
    • 7. Lectures on Nori's connectivity theorem J. Nagel
    • 8. Beilinson's Hodge and Tate conjectures S. Saito.
      Contributors
    • J. Elizondo, C. Peters, S. Kosarew, P. Lima-Filho, J. P. Murre, P. Elbaz-Vincent, J. D. Lewis, J. Nagel, S. Saito

    • Editors
    • S. Müller-Stach , Johannes Gutenberg Universität Mainz, Germany
    • C. Peters , Université de Grenoble