An analogue of a conjecture of Mazur a question in Diophantine approximation on tori
| dc.creator | Prasad, Dipendra | |
| dc.date | 2002-04-15 | |
| dc.date.accessioned | 2026-07-07T04:48:10Z | |
| dc.date.available | 2026-07-07T04:48:10Z | |
| dc.description | B. Mazur has considered the question of density in the Euclidean topology of the set of ${\Bbb Q}$-rational points on a variety $X$ defined over ${\Bbb Q}$, in particular for Abelian varieties. In this paper we consider the question of closures of the image of finitely generated subgroups of $T({\Bbb Q})$ in $Γ\backslash T({\Bbb R})$ where $T$ is a torus defined over ${\Bbb Q}$, $Γ$ an arithmetic subgroup such that $Γ\backslash T({\Bbb R})$ is compact. Assuming Schanuel's conjecture, we prove that the closures correspond to sub {\it algebraic} tori of $T$. | |
| dc.identifier | https://arxiv.org/abs/math/0204359 | |
| dc.identifier | http://arxiv.org/abs/math/0204359 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63944 | |
| dc.subject | Number Theory | |
| dc.title | An analogue of a conjecture of Mazur a question in Diophantine approximation on tori | |
| dc.type | text |