Complete Intersections of Two Quadrics and Galois Cohomology
Number Theory
2013-05-07 v2 Algebraic Geometry
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.
Keywords
Cite
@article{arxiv.1205.5426,
title = {Complete Intersections of Two Quadrics and Galois Cohomology},
author = {Yasuhiro Ishitsuka},
journal= {arXiv preprint arXiv:1205.5426},
year = {2013}
}
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19 pages