Algebraic cycles and motivic generic iterated integrals
数论
2007-05-23 v1 代数几何
摘要
Following the work of Gangl, Goncharov and Levin in [GGL], we will give a combinatorial framework for motivic study of iterated integrals on the affine line. We will show that under a certain genericity condition these combinatorial objects yield to elements in the motivic Hopf algebra constructed in Bloch-Kriz [BK]. It will be shown that the Hodge realization of these elements coincides with the Hodge structure induced from the fundamental torsor of path of punctured affine line.
引用
@article{arxiv.math/0506370,
title = {Algebraic cycles and motivic generic iterated integrals},
author = {Hidekazu Furusho and Amir Jafari},
journal= {arXiv preprint arXiv:math/0506370},
year = {2007}
}