21 citations · 54 across the 7 of their papers we have counts for
4 papers · 1 filter
Geometry of the trilogarithm and the motivic Lie algebra of a field
A. B. Goncharov
We express the Aomoto trilogarithm explicitely via classical trilogarithm and investigate the algebraic-geometric structures behind this: different realuzations of the weight three…
The dihedral Lie algebras and Galois symmetries of π_1^l(P^1 - 0, infinity and N-th roots of unity)
A. B. Goncharov
We study the action of the Galois group on the pro-l-completion of the fundamental group of P^1 - {0, infinity and N-th roots of unity}. We describe the Lie algebra of the image of…
Multiple zeta-values, Galois groups, and geometry of modular varieties
A. B. Goncharov
We discuss the following two problems: 1) The properties of the multiple zeta-values and their generalizations, multiple polylogarithms at N-th roots of unity; 2) The action of the…
Explicit regulator maps on polylogarithmic motivic complexes
A. B. Goncharov
We define a regulator map from the weight n polylogarithmic motivic complex to the weight n Deligne complex of an algebraic variety X. The regulator map is constructed explicitly v…