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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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