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

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

2000-11-21

arxiv.org/abs/math/0011168v1

Mathematics

Algebraic Geometry

This is a paper from the proceedings of Jerusalem conference on Regulators

Scientific paper

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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