Thue equations and the method of Coleman-Chabauty
| dc.creator | Lorenzini, Dino | |
| dc.creator | Tucker, Thomas J. | |
| dc.date | 2000-05-18 | |
| dc.date.accessioned | 2026-07-07T04:35:22Z | |
| dc.date.available | 2026-07-07T04:35:22Z | |
| dc.description | In this paper, we prove that a Thue equation F(x,y) = h, where h is an integer and F is a polynomial of degree n with integer coefficients and without repeated roots, has at most 2n^3 - 2n - 3 solutions provided that the Mordell-Weil rank of the Jacboian of the corresponding curve is less than (n-1)(n-2)/2. The proof uses the method of Coleman-Chabauty, extended here to apply to arbitrary regular models of curves, along with an explicit construction of a portion of a regular model for the curve corresponding to the Thue equation. | |
| dc.description | 30 pages | |
| dc.identifier | https://arxiv.org/abs/math/0005186 | |
| dc.identifier | http://arxiv.org/abs/math/0005186 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/59231 | |
| dc.subject | Number Theory | |
| dc.subject | 11D41, 14G25, 14G30 | |
| dc.title | Thue equations and the method of Coleman-Chabauty | |
| dc.type | text |