Visualizing Elements in the Shafarevich—Tate Group
Visualizing Elements in the Shafarevich—Tate Group
Abstract We review a number of ways of "visualizing" the elements of the Shafarevich–Tate group of an elliptic curve Eover a number field K. We are specifically interested in caseswhere the elliptic curves are defined over the rationals, and are subabelian varieties of the new part of the jacobian of …