Multiple polylogarithms and mixed Tate motives
代数几何
2007-05-23 v4 数论
摘要
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.
引用
@article{arxiv.math/0103059,
title = {Multiple polylogarithms and mixed Tate motives},
author = {A. B. Goncharov},
journal= {arXiv preprint arXiv:math/0103059},
year = {2007}
}
备注
82 pages, LATEX, exposition slightly improved, misprints corrected. No major changes