Periods and mixed motives
Algebraic Geometry
2007-05-23 v2 Number Theory
Abstract
We define motivic multiple polylogarithms and prove the double shuffle relations for them. We use this to study the motivic fundamental group of the multiplicative group - {N-th roots of unity} and relate it to geometry of modular varieties. In particular we get new information about the actionof the Galois group on the pro-l completion of the above fundamental group. This paper is the second part of "Multiple polylogarithms and mixed Tate motives" math.AG/0103059
Keywords
Cite
@article{arxiv.math/0202154,
title = {Periods and mixed motives},
author = {A. B. Goncharov},
journal= {arXiv preprint arXiv:math/0202154},
year = {2007}
}
Comments
103 pages, corrected version, sections 3.5 and 10.4 added