Tate-Shafarevich groups and K3 surfaces
Number Theory
2007-11-29 v1 Algebraic Geometry
Abstract
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.
Keywords
Cite
@article{arxiv.0711.4436,
title = {Tate-Shafarevich groups and K3 surfaces},
author = {Patrick Corn},
journal= {arXiv preprint arXiv:0711.4436},
year = {2007}
}
Comments
17 pages, comments welcome