The p-part of Tate-Shafarevich groups of elliptic curves can be arbitrarily large
| dc.creator | Kloosterman, Remke | |
| dc.date | 2003-03-12 | |
| dc.date | 2003-05-12 | |
| dc.date.accessioned | 2026-07-07T04:55:58Z | |
| dc.date.available | 2026-07-07T04:55:58Z | |
| dc.description | In this paper it is shown that for every prime p>5 the dimension of the p-torsion in the Tate-Shafarevich group of E/K can be arbitrarily large, where E is an elliptic curve defined over a number field K, with [K:Q] bounded by a constant depending only on p. From this we deduce that the dimension of the p-torsion in the Tate-Shafarevich group of A/Q can be arbitrarily large, where A is an abelian variety, with dim A bounded by a constant depending only on p. | |
| dc.description | Second version; The final section has been changed to correct a mistake in the first version. Some reference are added | |
| dc.identifier | https://arxiv.org/abs/math/0303143 | |
| dc.identifier | http://arxiv.org/abs/math/0303143 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66765 | |
| dc.subject | Number Theory | |
| dc.subject | 11G05 (Primary); 11G18 (Secondary) | |
| dc.title | The p-part of Tate-Shafarevich groups of elliptic curves can be arbitrarily large | |
| dc.type | text |