The Hodge realization of the polylogarithm on the product of multiplicative groups
arXiv:2002.05142 · doi:10.1007/s00209-020-02483-y
Abstract
The purpose of this article is to describe explicitly the polylogarithm class in absolute Hodge cohomology of a product of multiplicative groups, in terms of the Bloch-Wigner-Ramakrishnan polylogarithm functions. We will use the logarithmic Dolbeault complex defined by Burgos to calculate the corresponding absolute Hodge cohomology groups.
28 pages