Numerical verification of Beilinson's conjecture for K2 of hyperelliptic curves
arXiv:math/0405040 · doi:10.1112/S0010437X05001892
Abstract
We construct families of hyperelliptic curves over Q of arbitrary genus g with (at least) g integral elements in K_2. We also verify the Beilinson conjectures about K_2 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 K_2 of curves.
39 pages; to appear in Compositio Math