Two variants of the support problem for products of abelian varieties and tori
| dc.creator | Perucca, Antonella | |
| dc.date | 2007-12-17 | |
| dc.date | 2009-02-15 | |
| dc.date.accessioned | 2026-07-07T12:41:07Z | |
| dc.date.available | 2026-07-07T12:41:07Z | |
| dc.description | Let G be the product of an abelian variety and a torus defined over a number field K. Let P and Q be K-rational points on G. Suppose that for all but finitely many primes p of K the order of (Q mod p) divides the order of (P mod p). Then there exist a K-endomorphism f of G and a non-zero integer c such that f(P)=cQ. Furthermore, we are able to prove the above result with weaker assumptions: instead of comparing the order of the points we only compare the radical of the order (radical support problem) or the l-adic valuation of the order for some fixed rational prime l (l-adic support problem). | |
| dc.description | 13 pages; v2 results generalized; v3 incorporated referee comments, final version to appear in Journal of Number Theory | |
| dc.identifier | https://arxiv.org/abs/0712.2815 | |
| dc.identifier | http://arxiv.org/abs/0712.2815 | |
| dc.identifier | doi:10.1016/j.jnt.2009.01.005 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/219664 | |
| dc.subject | Number Theory | |
| dc.subject | 11G35 (Primary), 14K15, 14G25, 11R45, 14L10 (Secondary) | |
| dc.title | Two variants of the support problem for products of abelian varieties and tori | |
| dc.type | text |