Numerical verification of Beilinson's conjecture for K2 of hyperelliptic curves

[摘要] We construct families of hyperelliptic curves over ${mathbb Q}$ 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 first few sections of the paper also provide an elementary introduction to the Beilinson conjectures for K2 of curves.

[学科分类] 数学（综合）