Complete Intersections of Two Quadrics and Galois Cohomology
  For each nonsingular hyperelliptic curve of arbitrary genus, we construct a natural injection from the Galois cohomology of 2-torsion subgroups of Jacobian varieties of the curve to the set of isomorphism classes of nonsingular complete intersections of two quadrics. This gives a generalization of the result of Flynn and Skorobogatov. 
Yasuhiro Ishitsuka
math.NT math.AG