A conjecture on rational approximations to rational points
| dc.creator | McKinnon, David | |
| dc.date | 2005-04-14 | |
| dc.date | 2006-04-04 | |
| dc.date.accessioned | 2026-07-07T06:39:47Z | |
| dc.date.available | 2026-07-07T06:39:47Z | |
| dc.description | In this paper, we examine how well a rational point P on an algebraic variety X can be approximated by other rational points. We conjecture that if P lies on a rational curve, then the best approximations to P on X can be chosen to lie along a rational curve. We prove this conjecture for a wide range of examples, and for a great many more examples we deduce our conjecture from Vojta's Main Conjecture. | |
| dc.description | 49 pages, 3 figures. Exposition improved, particularly in the proofs of the main theorems, and the connection with accumulating subvarieties made explicit | |
| dc.identifier | https://arxiv.org/abs/math/0504303 | |
| dc.identifier | http://arxiv.org/abs/math/0504303 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/101209 | |
| dc.subject | Number Theory | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14G05 | |
| dc.title | A conjecture on rational approximations to rational points | |
| dc.type | text |