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On $K_1$ of a self-product of a curve

Kenichiro Kimura
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Abstract

We present elements of $H^1(C\ti C, K_2)$ for certain specific curves C.The image of the element under the boundary map arising from the localization sequence of K-theory is the graph of frobenius endomorphism of the reduction of the curve modulo 3.

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Kenichiro Kimura. 2002-04-02. On $K_1$ of a self-product of a curve. https://arxiv.org/abs/math/0204024

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