Arbitrarily large Tate–Shafarevich group on Abelian surfaces
We outline a method for demonstrating arbitrarily large Tate–Shafarevich groups which does not require explicit homogeneous spaces, and we show that the Tate–Shafarevich groups over Q of absolutely simple Abelian surfaces (in particular, their 2-torsion) can be arbitrarily large.
| Autore principale: | |
|---|---|
| Natura: | Journal article |
| Pubblicazione: |
Elsevier
2017
|
| Riassunto: | We outline a method for demonstrating arbitrarily large Tate–Shafarevich groups which does not require explicit homogeneous spaces, and we show that the Tate–Shafarevich groups over Q of absolutely simple Abelian surfaces (in particular, their 2-torsion) can be arbitrarily large. |
|---|