The invariants of the Tate-Shafarevich group in a \({\mathbb{Z}}_ p\)- extension can be infinite
In this paper, the author constructs examples which show that the Galois invariants of the p-primary subgroup of the Tate-Shafarevich group over a \({\mathbb{Z}}_ p\)-extension can be infinite. They are interesting in comparing with the conjecture on the finiteness of the Tate-Shafarevich group of an abelian variety over a number field.
finiteness of the Tate-Shafarevich group
scientific article; zbMATH DE number 3929173
scientific article