Elements of Order <i>P</i> in the Tate-šafarevič Group
Elements of Order <i>P</i> in the Tate-šafarevič Group
By a global field, we will always mean a number field or a function field in one variable over a finite field.Lang and Tate have shown [4] that the Tate-Safarevic" group of an abelian variety over such a field has only finitely many elements of order dividing a fixed integer …