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

Kenichi Bannai, Kei Hagihara, Kazuki Yamada, Shuji Yamamoto

Research output: Contribution to journalArticlepeer-review

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
Pages (from-to)1787-1817
Number of pages31
JournalMathematische Zeitschrift
Volume296
Issue number3-4
DOIs
Publication statusPublished - 2020 Dec 1

ASJC Scopus subject areas

  • Mathematics(all)

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