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.

Original languageEnglish
JournalMathematische Zeitschrift
DOIs
Publication statusAccepted/In press - 2020 Jan 1

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ASJC Scopus subject areas

  • Mathematics(all)

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