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.
| 元の言語 | 英語 |
|---|---|
| ページ（範囲） | 87-119 |
| ページ数 | 33 |
| ジャーナル | Mathematische Annalen |
| 巻 | 328 |
| 発行部数 | 1-2 |
| DOI | |
| 出版物ステータス | 出版済み - 1 1 2004 |
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All Science Journal Classification (ASJC) codes
- Mathematics(all)
これを引用
Complexes of exact hermitian cubes and the Zagier conjecture. / Takeda, Yuichiro.
：: Mathematische Annalen, 巻 328, 番号 1-2, 01.01.2004, p. 87-119.研究成果: ジャーナルへの寄稿 › 記事
}
TY - JOUR
T1 - Complexes of exact hermitian cubes and the Zagier conjecture
AU - Takeda, Yuichiro
PY - 2004/1/1
Y1 - 2004/1/1
N2 - 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.
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.
UR - http://www.scopus.com/inward/record.url?scp=0742271158&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0742271158&partnerID=8YFLogxK
U2 - 10.1007/s00208-003-0474-1
DO - 10.1007/s00208-003-0474-1
M3 - Article
VL - 328
SP - 87
EP - 119
JO - Mathematische Annalen
JF - Mathematische Annalen
SN - 0025-5831
IS - 1-2
ER -