The period-index problem in WC-groups I: elliptic curves
| dc.creator | Clark, Pete L. | |
| dc.date | 2004-06-07 | |
| dc.date.accessioned | 2026-07-07T05:08:58Z | |
| dc.date.available | 2026-07-07T05:08:58Z | |
| dc.description | Let E/K be an elliptic curve defined over a number field, and let p be a prime number such that E(K) has full p-torsion. We show that the order of the p-part of the Shafarevich-Tate group of E/L is unbounded as L varies over degree p extensions of K. The proof uses O'Neil's period-index obstruction. We deduce the result from the fact that, under the same hypotheses, there exist infinitely many elements of the Weil-Chatelet group of E/K of period p and index p^2. | |
| dc.description | 10 pages | |
| dc.identifier | https://arxiv.org/abs/math/0406131 | |
| dc.identifier | http://arxiv.org/abs/math/0406131 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/71470 | |
| dc.subject | Number Theory | |
| dc.title | The period-index problem in WC-groups I: elliptic curves | |
| dc.type | text |