A counterexample to the local-global principle of linear dependence for abelian varieties
| dc.creator | Jossen, Peter | |
| dc.creator | Perucca, Antonella | |
| dc.date | 2009-05-04 | |
| dc.date.accessioned | 2026-07-07T13:11:28Z | |
| dc.date.available | 2026-07-07T13:11:28Z | |
| dc.description | Let A be an abelian variety defined over a number field k. Let P be a point in A(k) and let X be a subgroup of A(k). Gajda in 2002 asked whether it is true that the point P belongs to X if and only if the point (P mod p) belongs to (X mod p) for all but finitely many primes p of k. We answer negatively to Gajda's question. | |
| dc.description | 3 pages | |
| dc.identifier | https://arxiv.org/abs/0905.0409 | |
| dc.identifier | http://arxiv.org/abs/0905.0409 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/229292 | |
| dc.subject | Number Theory | |
| dc.subject | 11G10; 11G05; 14K15 | |
| dc.title | A counterexample to the local-global principle of linear dependence for abelian varieties | |
| dc.type | text |