Torsion points of abelian varieties in abelian extensions
| dc.creator | Ruppert, Wolfgang M. | |
| dc.date | 1998-03-13 | |
| dc.date.accessioned | 2026-07-07T05:24:16Z | |
| dc.date.available | 2026-07-07T05:24:16Z | |
| dc.description | Let A be an abelian variety defined over a number field K and let Kab be the maximal abelian extension of K. We show that there only finitely many torsion points of A which are defined over Kab iff A has no abelian subvariety with complex multiplication over K. We use this to give another proof of Ribet's result that A has only finitely many torsion points which are defined over the cyclotomic extension of K. | |
| dc.identifier | https://arxiv.org/abs/math/9803169 | |
| dc.identifier | http://arxiv.org/abs/math/9803169 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76772 | |
| dc.subject | Number Theory | |
| dc.title | Torsion points of abelian varieties in abelian extensions | |
| dc.type | text |