Non-dense sets of subvarieties in a power of an elliptic curve
| dc.creator | Evelina, Viada | |
| dc.date | 2007-11-22 | |
| dc.date | 2009-05-19 | |
| dc.date.accessioned | 2026-07-07T13:15:43Z | |
| dc.date.available | 2026-07-07T13:15:43Z | |
| dc.description | Let V be an algebraic variety embedded in a power of an elliptic curve, both defined over the algebraic numbers. We show that the set of algebraic points of V which are of bounded height and which satisfy certain algebraic conditions are a non-dense subset of V. This result has implications in the context of the Pink-Zilber Conjecture and Mordel-Lang plus Bogomolov Theorem. | |
| dc.description | 34 pages | |
| dc.identifier | https://arxiv.org/abs/0711.3533 | |
| dc.identifier | http://arxiv.org/abs/0711.3533 | |
| dc.identifier | International Mathematics Reserch Notices, Vol 2009, n. 7, 1213-1246 | |
| dc.identifier | doi:10.1093/imrn/rnn157 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/230562 | |
| dc.subject | Number Theory | |
| dc.subject | 11J95, 14K12, 11G50, 11D45 | |
| dc.title | Non-dense sets of subvarieties in a power of an elliptic curve | |
| dc.type | text |