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

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

2004-05-04

arxiv.org/abs/math/0405040v2

Mathematics

Algebraic Geometry

39 pages; to appear in Compositio Math

Scientific paper

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.

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