The Arithmetic and Geometry of Algebraic Cycles

Author:   B. Brent Gordon ,  James D. Lewis ,  Stefan Müller-Stach ,  Shuji Saito
Publisher:   Springer
Edition:   Softcover reprint of the original 1st ed. 2000
Volume:   548
ISBN:  

9780792361947


Pages:   615
Publication Date:   29 February 2000
Format:   Paperback
Availability:   In Print   Availability explained
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The Arithmetic and Geometry of Algebraic Cycles


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Author:   B. Brent Gordon ,  James D. Lewis ,  Stefan Müller-Stach ,  Shuji Saito
Publisher:   Springer
Imprint:   Springer
Edition:   Softcover reprint of the original 1st ed. 2000
Volume:   548
Dimensions:   Width: 16.00cm , Height: 3.30cm , Length: 24.00cm
Weight:   1.970kg
ISBN:  

9780792361947


ISBN 10:   0792361946
Pages:   615
Publication Date:   29 February 2000
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

Cohomological Methods.- Lectures on algebro-geometric Chern-Weil and Cheeger-Chern-Simons theory for vector bundles.- Deligne cohomology and the geometric (co)bar constructions.- Kunga-Satake varieties and the Hodge conjecture.- Hodge and Weil classes on abelian varieties.- Bloch-Kato conjecture and motivic cohomology with finite coefficients 117.- Chow Groups and Motives.- Indecomposable hogher Chow cycles.- Equivalence relations on algebraic cycles.- Letter to Dick Gross on higher Abel-Jacobi maps.- Finiteness of torsion in the codimension-two Chow group: An Axiomatic Approach.- Algebraic cycle complexes: Basic Properties.- Algebraic cycles on abelian varieties: Application of abstract Fourier theory.- Motives and filtrations on Chow groups II.- Zero cycles on singular varieties.- Arithmetic Methods.- Prepotentials of Yukawa couplings of certain Calabi-Yau 3-folds and mirror symmetry.- Weight-monodromy conjecture for 1-adic representations associated to modular forms: A supplement to the paper [10].- Cohomology computations related to the 1-adic Abel-Jacobi map modulo l.- Integral elements in K-theory and products of modular curves.- Appendix to Scholl’s article: A counterexample to a conjecture of Beilinson.- Reduction of abelian varieties.- The arithmetic of cetain Calabi-Yau varieties over number fields.- Classical and elliptic polylogarithms and special values of L-series.

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