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Zagier's conjecture on L(E,2)

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Inventiones mathematicae Aims and scope

Abstract.

In this paper we introduce an elliptic analog of the Bloch-Suslin complex and prove that it (essentially) computes the weight two parts of the groups K 2(E) and K 1(E) for an elliptic curve E over an arbitrary field k. Combining this with the results of Bloch and Beilinson we proved Zagier's conjecture on L(E,2) for modular elliptic curves over ℚ.

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Authors and Affiliations

  1. Max-Planck-Institut für Mathematik, D-53225 Bonn, Germany (e-mail: sasha@mpim-Bonn.mpg.de), , , , , , DE

    A. B. Goncharov

  2. International Institute for Nonlinear Studies at Landau Institute Vorobjovskoe sh. 2, Moscow 117940, Russia (e-mail: andrl@landau.ac.ru), , , , , , RU

    A. M. Levin

Authors
  1. A. B. Goncharov
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  2. A. M. Levin
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Oblatum 3-VI-1996 & 16-V-1997

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Goncharov, A., Levin, A. Zagier's conjecture on L(E,2). Invent math 132, 393–432 (1998). https://doi.org/10.1007/s002220050228

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  • DOI: https://doi.org/10.1007/s002220050228

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