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arXiv · 2002.05142

The Hodge realization of the polylogarithm on the product of multiplicative groups

Kenichi Bannai·Kei Hagihara·Kazuki Yamada·Shuji Yamamoto
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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.

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Kenichi Bannai, Kei Hagihara, Kazuki Yamada, Shuji Yamamoto. 2020-02-12. The Hodge realization of the polylogarithm on the product of multiplicative groups. https://doi.org/10.1007/s00209-020-02483-y

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