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

Lecture notes for graduates or researchers wishing to enter this modern field of research.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 to illustrate the theory. The book will be ideal for graduate students or researchers seeking a modern introduction to the state-of-the-art theory in this subject.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 to illustrate the theory. The book will be ideal for graduate students or researchers seeking a modern introduction to the state-of-the-art theory in this subject.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.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 motlS›