Zagier's conjecture on $L(E,2)$

Details Zagier's conjecture on $L(E,2)$ Zagier's conjecture on $L(E,2)$

1995-08-17

arxiv.org/abs/alg-geom/9508008v4

Mathematics

Algebraic Geometry

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Scientific paper

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 $\Bbb Q$.

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