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
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
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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.
