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math.NT2005★ 2 cited
Multiple polylogarithms, polygons, trees and algebraic cycles
Herbert Gangl, Alexander B. Goncharov, Andrey Levin
We construct algebraic cycles in Bloch's cubical cycle group which correspond to multiple polylogarithms with generic arguments. Moreover, we construct out of them a Hopf subalgebr…
math.NT2005
Multiple logarithms, algebraic cycles and trees
Herbert Gangl, Alexander B. Goncharov, Andrey Levin
This is a short exposition--mostly by way of the toy models ``double logarithm'' and ``triple logarithm''--which should serve as an introduction to a forthcoming article in which w…
math.NT2002★ 5 cited
Polylogarithms, regulators and Arakelov motivic complexes
A. B. Goncharov
We construct an explicit regulator map from the weigh n Bloch Higher Chow group complexto the weight n Deligne complex of a regular complex projective algebraic variety X. We defin…