Geometry of the trilogarithm and the motivic Lie algebra of a field
نویسنده
چکیده
We express explicitly the Aomoto trilogarithm by classical trilogarithms and investigate the algebraic-geometric structures staying behind: different realizations of the weight three motivic complexes. Applying these results we describe the motivic structure of the Grassmannian tetralogarithm function and determine the structure of the motivic Lie coalgebra in degrees ≤ 4. Using this we give an explicit construction of the Borel regulator map r4 : K7(C) −→ R which together with the Borel theorem leads to results about ζF (4).
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تاریخ انتشار 1999