The Arithmetic and Geometry of Algebraic Cycles [Softcover reprint of the original 1st ed. 2000] 0792361946, 9780792361947

Table of contents :
Front Matter....Pages i-xxx
Front Matter....Pages 1-1
Lectures on Algebro-Geometric Chern-Weil and Cheeger-Chern-Simons Theory for Vector Bundles....Pages 3-28
Deligne Cohomology and the Geometric (Co-)Bar Constructions....Pages 29-50
Kuga-Satake Varieties and the Hodge Conjecture....Pages 51-82
Hodge and Well Classes on Abelian Varieties....Pages 83-115
Bloch-Kato Conjecture and Motivic Cohomology with Finite Coefficients....Pages 117-189
Front Matter....Pages 191-191
Indecomposable Higher Chow Cycles....Pages 193-224
Equivalence Relations on Algebraic Cycles....Pages 225-260
Letter from Jannsen to Gross on higher Abel-Jacobi maps....Pages 261-275
Finiteness of Torsion in the Codimension-Two Chow Group: An Axiomatic Approach....Pages 277-284
Algebraic Cycle Complexes....Pages 285-305
Algebraic Cycles on Abelian Varieties....Pages 307-320
Motives and Filtrations on Chow Groups, II....Pages 321-346
Zero Cycles on Singular Varieties....Pages 347-382
Front Matter....Pages 383-383
Prepotentials of Yukawa Couplings of Certain Calabi-Yau 3-Folds and Mirror Symmetry....Pages 385-425
Weight-Monodromy Conjecture for ℓ-Adic Representations Associated to Modular Forms....Pages 427-431
Cohomology Computations Related to the ι -Adic Abel-Jacobi Map Modulo ι ....Pages 433-466
Integral Elements in K -Theory and Products of Modular Curves....Pages 467-489
Appendix to the Paper of Scholl....Pages 491-493
Reduction of Abelian Varieties....Pages 495-513
The Arithmetic of Certain Calabi-Yau Varieties over Number Fields....Pages 515-560
Front Matter....Pages 383-383
Classical and Elliptic Polylogarithms and Special Values of L-Series....Pages 561-615

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