Complexes of exact hermitian cubes and the Zagier conjecture

Yuichiro Takeda

doi:10.1007/s00208-003-0474-1

Complexes of exact hermitian cubes and the Zagier conjecture

Yuichiro Takeda

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

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 language	English
Pages (from-to)	87-119
Number of pages	33
Journal	Mathematische Annalen
Volume	328
Issue number	1-2
DOIs	https://doi.org/10.1007/s00208-003-0474-1
Publication status	Published - Jan 2004

All Science Journal Classification (ASJC) codes

Mathematics(all)

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10.1007/s00208-003-0474-1

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AB - 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.

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Complexes of exact hermitian cubes and the Zagier conjecture

Abstract

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