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Titlebook: Regulators in Analysis, Geometry and Number Theory; Alexander Reznikov,Norbert Schappacher Book 2000 Birkhäuser Boston 2000 Volume.algebra

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Progress in Mathematicshttp://image.papertrans.cn/r/image/825725.jpg
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Cohomology of Congruence Subgroups of , (2, 1), and Hodge Cycles on Some Special Complex HyperbolicLet . be a semisimple algebraic group over a number field . and set . . = ∏ .∈. . ., where S. is the set of archimedean places of .. As is well-known, the cohomology of a cocompact lattice Γ ⊂ . . is expressed in terms of the decomposition
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Polylogarithmic Currents on Abelian Varieties,We construct a certain collection of currents on a universal family of abelian varieties. The cohomology classes of these currents are rational; so our currents are a natural generalization of the Eisenstein series on the modular curve.
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,Variations of Hodge—de Rham Structure and Elliptic Modular Units,In this paper, we give a conceptual interpretation of generalized elliptic units in terms of variations of Hodge-de Rham structure, and of (elliptic) polylogarithms.
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Regulators in Analysis, Geometry and Number Theory978-1-4612-1314-7Series ISSN 0743-1643 Series E-ISSN 2296-505X
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0743-1643 earch in Mathematical Analysis of The Hebrew University of Jerusalem in 1996. During the preparation and the holding of the workshop we were greatly helped by the director of the Landau Center: Lior Tsafriri during the time of the planning of the conference, and Hershel Farkas during the meeting its
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