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arxiv: math/0204024 · v1 · submitted 2002-04-02 · 🧮 math.AG · math.NT

On K₁ of a self-product of a curve

classification 🧮 math.AG math.NT
keywords curvearisingboundarycertaincurveselementelementsendomorphism
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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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