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

数学部門

研究成果: Contribution to journal › Article › 査読

2 被引用数 (Scopus)

抄録

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.

本文言語	英語
ページ（範囲）	87-119
ページ数	33
ジャーナル	Mathematische Annalen
巻	328
号	1-2
DOI	https://doi.org/10.1007/s00208-003-0474-1
出版ステータス	出版済み - 1 1 2004

All Science Journal Classification (ASJC) codes

数学 (全般)

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10.1007/s00208-003-0474-1

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引用スタイル

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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

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