Complexes of exact hermitian cubes and the Zagier conjecture

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Abstract

In this paper, we present a new way of constructing a map from the higher Bloch group to the higher rational K -theory for an algebraic number field. The composition of it with the regulator map is expressed in terms of the polylogarithm function. To do this, we employ exact hermitian cubes and their Bott-Chern forms.

Original languageEnglish
Pages (from-to)87-119
Number of pages33
JournalMathematische Annalen
Volume328
Issue number1-2
DOIs
Publication statusPublished - Jan 1 2004

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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