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Geometry of the trilogarithm and the motivic Lie algebra of a field

A. B. Goncharov
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Abstract

We express the Aomoto trilogarithm explicitely via classical trilogarithm and investigate the algebraic-geometric structures behind this: different realuzations of the weight three motivic complexes. Using this results we give an explicit motivic construction of the Grassmannian 4-logarithm and Borel regulator map for K_7(C).

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BibTeXRIS

A. B. Goncharov. 2000-11-21. Geometry of the trilogarithm and the motivic Lie algebra of a field. https://arxiv.org/abs/math/0011168

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