Tate-Shafarevich groups and K3 surfaces

Details Tate-Shafarevich groups and K3 surfaces Tate-Shafarevich groups and K3 surfaces

2007-11-28

arxiv.org/abs/0711.4436v1

Mathematics

Number Theory

17 pages, comments welcome

Scientific paper

Following (and elaborating on) a method of Logan and van Luijk, we exhibit
explicit genus-2 curves whose Jacobians have nontrivial 2-torsion in their
Tate-Shafarevich groups.

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