The Arithmetic and Geometry of Algebraic Cycles

The Arithmetic and Geometry of Algebraic Cycles edited by B. Brent Gordon, James D. Lewis, Stefan Müller-Stach, Shuji Saito, Noriko Yui.

The NATO Advanced Study Institute on "The Arithmetic and Geometry of Algebraic Cycles" was held at the Banff Centre for Conferences in Banff (Al­ berta, Canada) from June 7 until June 19, 1998. This meeting was organized jointly with Centre de Recherches Mathematiques (CRM), Montreal, as o...

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Bibliographic Details
Corporate Author: SpringerLink (Online service)
Other Authors: Gordon, B. Brent (Editor), Lewis, James D. (Editor), Müller-Stach, Stefan (Editor), Saito, Shuji (Editor), Yui, Noriko (Editor)
Format: eBook
Language:English
Published: Dordrecht : Springer Netherlands : Imprint: Springer, 2000.
Edition:1st ed. 2000.
Series:Nato Science Series C:, Mathematical and Physical Sciences, 548
Springer eBook Collection.
Subjects:
Algebraic geometry.
K-theory.
Algebra.
Field theory (Physics).
Applied mathematics.
Engineering mathematics.
Global analysis (Mathematics).
Manifolds (Mathematics).
Electronic resources (E-books)
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Electronic access restricted to members of the Holy Cross Community.
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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