The period-index problem in WC-groups II: abelian varieties
| dc.creator | Clark, Pete L. | |
| dc.date | 2004-06-08 | |
| dc.date.accessioned | 2026-07-07T05:08:59Z | |
| dc.date.available | 2026-07-07T05:08:59Z | |
| dc.description | We study the relationship between the period and the index of a principal homogeneous space over an abelian variety, obtaining results which generalize work of Cassels and Lichtenbaum on curves of genus one. In addition, we show that the p-torsion in the Shafarevich-Tate group of a fixed abelian variety over a number field k grows arbitrarily large when considered over field extensions l/k of bounded degree. Essential use is made of an abelian variety version of O'Neil's period-index obstruction. | |
| dc.description | 28 pages | |
| dc.identifier | https://arxiv.org/abs/math/0406135 | |
| dc.identifier | http://arxiv.org/abs/math/0406135 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/71473 | |
| dc.subject | Number Theory | |
| dc.title | The period-index problem in WC-groups II: abelian varieties | |
| dc.type | text |