Numerical verification of Beilinson's conjecture for K_2 of hyperelliptic curves
(2006)
Journal Article
Dokchitser, T., de Jeu, R., & Zagier, D. (2006). Numerical verification of Beilinson's conjecture for K_2 of hyperelliptic curves. Compositio Mathematica, 142(2), 339-373. https://doi.org/10.1112/s0010437x05001892
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 first few sections of... Read More about Numerical verification of Beilinson's conjecture for K_2 of hyperelliptic curves.