Elliptic units in \(K_{2}\).

DOI10.1016/S0022-314X(03)00021-0zbMath1146.11319arXivmath/0204023MaRDI QIDQ1399668

Ken-Ichiro Kimura

Publication date: 30 July 2003

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0204023

zbMATH Keywords

Euler systemColeman power seriesCM elliptic curveexplicit reciprocity law\(K_{2}\)

Mathematics Subject Classification ID

Polylogarithms and relations with (K)-theory (11G55) Elliptic and modular units (11G16)

Cites Work

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• The ``main conjectures of Iwasawa theory for imaginary quadratic fields
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Première partie). Rédigé avec la colloboration de J. Dieudonné
• A finiteness theorem for K\(_2\) of a number field
• On the Hodge-Tage decomposition in the imperfect residue field case.
• Higher algebraic K-theory: I
• The theory of Coleman power series for 𝐾₂