Transcendental Aspects of Algebraic Cycles: Proceedings of the Grenoble Summer School, 2001

by S. Müller-Stach, C. Peters

Overview

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.

Product Details

ISBN-13:	9780521545471
Publisher:	Cambridge University Press
Publication date:	04/20/2004
Series:	London Mathematical Society Lecture Note Series , #313
Pages:	310
Product dimensions:	6.02(w) x 8.98(h) x 0.71(d)

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.