抄録
The specializations of the motivic elliptic polylogarithm on the universal elliptic curve to the modular curve are referred to as Eisenstein classes. In this paper, we prove that the syntomic realization of the Eisenstein classes restricted to the ordinary locus of the modular curve may be expressed using p-adic Eisenstein series of negative weight, which are p-adic modular forms defined using the two-variable p-adic measure with values in p-adic modular forms constructed by Katz. The motivation of our research is the p-adic Beilinson conjecture formulated by Perrin-Riou.
| 元の言語 | English |
|---|---|
| ページ（範囲） | 1609-1654 |
| ページ数 | 46 |
| ジャーナル | American Journal of Mathematics |
| 巻 | 132 |
| 発行部数 | 6 |
| 出版物ステータス | Published - 2010 12 |
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ASJC Scopus subject areas
- Mathematics(all)
これを引用
P-adic elliptic polylogarithm, p-adic eisenstein series and Katz measure. / Bannai, Kenichi; Kings, Guido.
：: American Journal of Mathematics, 巻 132, 番号 6, 12.2010, p. 1609-1654.研究成果: Article
}
TY - JOUR
T1 - P-adic elliptic polylogarithm, p-adic eisenstein series and Katz measure
AU - Bannai, Kenichi
AU - Kings, Guido
PY - 2010/12
Y1 - 2010/12
N2 - The specializations of the motivic elliptic polylogarithm on the universal elliptic curve to the modular curve are referred to as Eisenstein classes. In this paper, we prove that the syntomic realization of the Eisenstein classes restricted to the ordinary locus of the modular curve may be expressed using p-adic Eisenstein series of negative weight, which are p-adic modular forms defined using the two-variable p-adic measure with values in p-adic modular forms constructed by Katz. The motivation of our research is the p-adic Beilinson conjecture formulated by Perrin-Riou.
AB - The specializations of the motivic elliptic polylogarithm on the universal elliptic curve to the modular curve are referred to as Eisenstein classes. In this paper, we prove that the syntomic realization of the Eisenstein classes restricted to the ordinary locus of the modular curve may be expressed using p-adic Eisenstein series of negative weight, which are p-adic modular forms defined using the two-variable p-adic measure with values in p-adic modular forms constructed by Katz. The motivation of our research is the p-adic Beilinson conjecture formulated by Perrin-Riou.
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UR - http://www.scopus.com/inward/citedby.url?scp=78650875307&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:78650875307
VL - 132
SP - 1609
EP - 1654
JO - American Journal of Mathematics
JF - American Journal of Mathematics
SN - 0002-9327
IS - 6
ER -