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arXiv · 1205.5426

Complete Intersections of Two Quadrics and Galois Cohomology

Yasuhiro Ishitsuka
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Abstract

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.

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Yasuhiro Ishitsuka. 2013-05-05. Complete Intersections of Two Quadrics and Galois Cohomology. https://arxiv.org/abs/1205.5426

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