| 概要 | In 2010, Manjul Bhargava and Arul Shankar showed that when all elliptic
curve over Q is ordered by height, the average rank of them is at most 1.5.
For proof, they used bijections between Galois cohomology of their
2-torsion subgroup and some orbits of linear representation. We extend one
of these bijection in case of hyperelliptic curves, and relate to complete
intersections of two quadrics. |