Table of Contents

Algebraic cycles and equivalence relations Survey of some of the main results on Chow groups Proof of the theorem of Voisin-Voevodsky Motives: Construction and first properties On Grothendieck's standard conjectures Finite dimensionality of motives Properties of finite dimensional motives Chow-Kunneth decomposition; The Picard and Albanese motive Chow-Kunneth decomposition in a special case On the conjectural Bloch-Beilinson filtration Relative Chow-Kunneth decomposition Surfaces fibered over a curve Beyond pure motives The category of motivic complexes Bibliography Index of notation Index

About the Author

Jacob P. Murre, Universiteit Leiden, The Netherlands

Jan Nagel, Universite de Bourgogne, Dijon Cedex, France

Chris A. M. Peters, Universite Grenoble I, St. Martin d'Heres, France