Numerical verification of Beilinson's conjecture for K2 of hyperelliptic curves
Tim Dokchitser, Rob de Jeu, Don Zagier
Abstract
We construct families of hyperelliptic curves over Q of arbitrary genus g with (at least) g integral elements in K2. We also verify the Beilinson conjectures about K2 numerically for several curves with g=2, 3, 4 and 5. The paper is essentially self-contained and may serve as an elementary introduction to Beilinson's conjectures for K2 of curves.
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