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arXiv 2000-11-21 0 views

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

Goncharov, A. B.

Original · EN

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 K₇(C).

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