Multiple polylogarithms and mixed Tate motives
Algebraic Geometry
2007-05-23 v4 Number Theory
Abstract
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.
Keywords
Cite
@article{arxiv.math/0103059,
title = {Multiple polylogarithms and mixed Tate motives},
author = {A. B. Goncharov},
journal= {arXiv preprint arXiv:math/0103059},
year = {2007}
}
Comments
82 pages, LATEX, exposition slightly improved, misprints corrected. No major changes