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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.

preprint2013arXivOpen access
Yasuhiro Ishitsuka
math.AGmath.NT
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Yasuhiro Ishitsuka

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