Multiple polylogarithms and mixed Tate motives

Details Multiple polylogarithms and mixed Tate motives Multiple polylogarithms and mixed Tate motives

2001-03-08

arxiv.org/abs/math/0103059v4

Mathematics

Algebraic Geometry

82 pages, LATEX, exposition slightly improved, misprints corrected. No major changes

Scientific paper

We develop the theory of multiple polylogarithms from analytic, Hodge and
motivic point of view. Define the category of mixed Tate motives over a ring of
integers in a number field. Describe explicitly the multiple polylogarithm Hopf
algebra.

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