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arxiv: math/0011168 · v1 · submitted 2000-11-21 · 🧮 math.AG

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

classification 🧮 math.AG
keywords motivictrilogarithmalgebraalgebraic-geometricaomotobehindborelclassical
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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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