Reduction of homomorphisms mod p and algebraicity
| dc.creator | Khare, Chandrashekhar | |
| dc.creator | Prasad, Dipendra | |
| dc.date | 2002-11-01 | |
| dc.date.accessioned | 2026-07-07T04:52:33Z | |
| dc.date.available | 2026-07-07T04:52:33Z | |
| dc.description | {Let $K$ be a number field, and $A_1,A_2$ abelian varieties over $K$. Let $P$ (resp. $Q$) be a non-torsion point in $ A_1(K)$ (resp. $A_2(K)$) such that for almost all places $v$ of $K$, the order of $Q$ mod $v$ divides the order of $P$ mod $v$. Then we prove (under some conditions on $A_i, i=1,2$) that there is a homomorphism $j$ from $A_1$ to $A_2$ such that $j(P) = Q$. We formulate and extend such a result for any subgroups of $A_i(K), i=1,2$. These results in particular extend the work of Corrales and Schoof from elliptic curves to abelian varieties. | |
| dc.identifier | https://arxiv.org/abs/math/0211004 | |
| dc.identifier | http://arxiv.org/abs/math/0211004 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65503 | |
| dc.subject | Number Theory | |
| dc.subject | 11F, 11R | |
| dc.title | Reduction of homomorphisms mod p and algebraicity | |
| dc.type | text |