The support problem for abelian varieties
| dc.creator | Larsen, Michael | |
| dc.date | 2002-11-06 | |
| dc.date | 2003-02-28 | |
| dc.date.accessioned | 2026-07-07T04:52:44Z | |
| dc.date.available | 2026-07-07T04:52:44Z | |
| dc.description | Let $A$ be an abelian variety over a number field $K$. If $P$ and $Q$ are $K$-rational points of $A$ such that the order of the reduction of $Q$ divides that of $P$ for all but finitely many primes of the ring of integers of $K$, then there exists a $K$-endomorphism $ϕ$ of $A$ and a positive integer $k$ such that $kQ = ϕ(P)$. | |
| dc.description | 7 pages, plain TeX. The statements of the main theorem and main corollary are slightly weakened to coincide with what is actually proved in the paper. There are a few other minor changes. To appear in the Journal of Number Theory | |
| dc.identifier | https://arxiv.org/abs/math/0211118 | |
| dc.identifier | http://arxiv.org/abs/math/0211118 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65577 | |
| dc.subject | Number Theory | |
| dc.subject | 11G10; 11R34 | |
| dc.title | The support problem for abelian varieties | |
| dc.type | text |