Numerical verification of Beilinson's conjecture for K2 of hyperelliptic curves
Algebraic Geometry
2013-09-23 v2 K-Theory and Homology
Number Theory
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.
Cite
@article{arxiv.math/0405040,
title = {Numerical verification of Beilinson's conjecture for K2 of hyperelliptic curves},
author = {Tim Dokchitser and Rob de Jeu and Don Zagier},
journal= {arXiv preprint arXiv:math/0405040},
year = {2013}
}
Comments
39 pages; to appear in Compositio Math