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

Mathematics – Algebraic Geometry

Scientific paper

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4 pages

Scientific paper

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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